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Journal articles on the topic 'Continuous mapping'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Duru, Hülya. "On the fixed points of affine nonexpansive mappings." International Journal of Mathematics and Mathematical Sciences 28, no. 11 (2001): 685–88. http://dx.doi.org/10.1155/s016117120100638x.

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LetKbe a closed convex bounded subset of a Banach spaceXand letT:K→Kbe a continuous affine mapping. In this note, we show that (a) ifTis nonexpansive then it has a fixed point, (b) ifThas only one fixed point then the mappingA=(I+T)/2is a focusing mapping; and (c) a continuous mappingS:K→Khas a fixed point if and only if, for eachx∈k,‖(An∘S)(x)−(S∘An)(x)‖→0for some strictly nonexpansive affine mappingT.

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2

Grimm, Cindy M., and Bill Niebruegge. "Continuous Cube Mapping." Journal of Graphics Tools 12, no. 4 (January 2007): 25–34. http://dx.doi.org/10.1080/2151237x.2007.10129250.

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3

Barreto, A. P., M. C. Fenille, and L. Hartmann. "Inverse mapping theorem and local forms of continuous mappings." Topology and its Applications 197 (January 2016): 10–20. http://dx.doi.org/10.1016/j.topol.2015.10.013.

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4

Sarsak, Mohammad S. "Weak Forms of Continuity andcmd="newline"Associated Properties." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–9. http://dx.doi.org/10.1155/2008/790964.

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We introduce slightly -continuous mapping and almost -open mapping and investigate the relationships between these mappings and related types of mappings, and also study some properties of these mappings.

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5

Bridges, Douglas, and Ray Mines. "Sequentially continuous linear mappings in constructive analysis." Journal of Symbolic Logic 63, no. 2 (June 1998): 579–83. http://dx.doi.org/10.2307/2586851.

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A mapping u: X → Y between metric spaces is sequentially continuous if for each sequence (xn) converging to x ∈ X, (u(xn)) converges to u(x). It is well known in classical mathematics that a sequentially continuous mapping between metric spaces is continuous; but, as all proofs of this result involve the law of excluded middle, there appears to be a constructive distinction between sequential continuity and continuity. Although this distinction is worth exploring in its own right, there is another reason why sequential continuity is interesting to the constructive mathematician: Ishihara [8] has a version of Banach's inverse mapping theorem in functional analysis that involves the sequential continuity, rather than continuity, of the linear mappings; if this result could be upgraded by deleting the word “sequential”, then we could prove constructively the standard versions of the inverse mapping theorem and the closed graph theorem.Troelstra [9] showed that in Brouwer's intuitionistic mathematics (INT) a sequentially continuous mapping on a separable metric space is continuous. On the other hand, Ishihara [6, 7] proved constructively that the continuity of sequentially continuous mappings on a separable metric space is equivalent to a certain boundedness principle for subsets of ℕ; in the same paper, he showed that the latter principle holds within the recursive constructive mathematics (RUSS) of the Markov School. Since it is not known whether that principle holds within Bishop's constructive mathematics (BISH), of which INT and RUSS are models and which can be regarded as the constructive core of mathematics, the exploration of sequential continuity within BISH holds some interest.

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6

Othman, Hakeem A. "On FuzzySp-Open Sets." Advances in Fuzzy Systems 2011 (2011): 1–5. http://dx.doi.org/10.1155/2011/768028.

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A new class of generalized fuzzy open sets in fuzzy topological space, called fuzzysp-open sets, are introduced, and their properties are studied and the relationship between this new concept and other weaker forms of fuzzy open sets we discussed. Moreover, we introduce the fuzzysp-continuous (resp., fuzzysp-open) mapping and other stronger forms ofsp-continuous (resp., fuzzysp-open) mapping and establish their various characteristic properties. Finally, we study the relationships between all these mappings and other weaker forms of fuzzy continuous mapping and introduce fuzzysp-connected. Counter examples are given to show the noncoincidence of these sets and mappings.

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7

Ramadan, A. A., S. E. Abbas, and A. A. Abd El-Latif. "Compactness in intuitionistic fuzzy topological spaces." International Journal of Mathematics and Mathematical Sciences 2005, no. 1 (2005): 19–32. http://dx.doi.org/10.1155/ijmms.2005.19.

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We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.

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8

Nadaban, Sorin. "Fuzzy Continuous Mappings in Fuzzy Normed Linear Spaces." International Journal of Computers Communications & Control 10, no. 6 (October 3, 2015): 74. http://dx.doi.org/10.15837/ijccc.2015.6.2074.

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In this paper we continue the study of fuzzy continuous mappings in fuzzy normed linear spaces initiated by T. Bag and S.K. Samanta, as well as by I. Sadeqi and F.S. Kia, in a more general settings. Firstly, we introduce the notion of uniformly fuzzy continuous mapping and we establish the uniform continuity theorem in fuzzy settings. Furthermore, the concept of fuzzy Lipschitzian mapping is introduced and a fuzzy version for Banach’s contraction principle is obtained. Finally, a special attention is given to various characterizations of fuzzy continuous linear operators. Based on our results, classical principles of functional analysis (such as the uniform boundedness principle, the open mapping theorem and the closed graph theorem) can be extended in a more general fuzzy context.

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9

kumari, A. Ponselva, and R. Selvi. "Fuzzy Soft Semi Continuous Mapping." IOSR Journal of Mathematics 10, no. 6 (2014): 01–09. http://dx.doi.org/10.9790/5728-10620109.

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10

Tombuyses, B., and T. Aldemir. "CONTINUOUS CELL-TO-CELL MAPPING." Journal of Sound and Vibration 202, no. 3 (May 1997): 395–415. http://dx.doi.org/10.1006/jsvi.1996.0835.

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11

Çiçek, Mustafa. "On the inverse image of Baire spaces." International Journal of Mathematics and Mathematical Sciences 20, no. 3 (1997): 423–32. http://dx.doi.org/10.1155/s0161171297000586.

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In 1961, Z. Frolik proved that iffis an open and continuous mapping of a metrizable separable spaceXonto Baire spaceYand if the point inverses are Baire spaces, thenXis a Baire space. We give a generalization to semi-continuous and semi-open mapping of this theorem and extended it to the several types of mappings.

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12

Jung, Jong Soo. "Convergence Theorems for Modified Implicit Iterative Methods with Perturbation for Pseudocontractive Mappings." Mathematics 8, no. 1 (January 2, 2020): 72. http://dx.doi.org/10.3390/math8010072.

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In this paper, first, we introduce a path for a convex combination of a pseudocontractive type of mappings with a perturbed mapping and prove strong convergence of the proposed path in a real reflexive Banach space having a weakly continuous duality mapping. Second, we propose two modified implicit iterative methods with a perturbed mapping for a continuous pseudocontractive mapping in the same Banach space. Strong convergence theorems for the proposed iterative methods are established. The results in this paper substantially develop and complement the previous well-known results in this area.

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13

Kumler, Mark P., and Richard E. Groop. "Continuous-Tone Mapping of Smooth Surfaces." Cartography and Geographic Information Systems 17, no. 4 (January 1990): 279–89. http://dx.doi.org/10.1559/152304090783805681.

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14

Thomson, Chris, Leo Lue, and Marcus N. Bannerman. "Mapping continuous potentials to discrete forms." Journal of Chemical Physics 140, no. 3 (January 21, 2014): 034105. http://dx.doi.org/10.1063/1.4861669.

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15

Gribov, Alexander, and Konstantin Krivoruchko. "Geostatistical Mapping with Continuous Moving Neighborhood." Mathematical Geology 36, no. 2 (February 2004): 267–81. http://dx.doi.org/10.1023/b:matg.0000020473.63408.17.

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16

Kokilavani, V., and S. Visagapriya. "A New Class on Ng^# α-Quotient Mappings in Nano Topological Space." Journal of Scientific Research 12, no. 3 (May 1, 2020): 269–77. http://dx.doi.org/10.3329/jsr.v12i3.43838.

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The primary intend of this article is to define a new class of mappings called Ng# α-quotient mappings in nano topological space. The intention is to analyze characterizations and inter relationship of Ng# α-quotient mappings with nano Tg#α-space, Ng# α-continuous, Ng# α-open, Ng# α-irresolute, Ng# α-homeomorphism and nano α-quotient mapping. Also several properties of strongly Ng# α-quotient mapping are derived and the relationships among them are illustrated with the help of examples. Their interesting composition with strongly Ng# α-irresolute are established. The concept of Ng# α-quotient mapping is explored and composition of mappings under strongly Ng# α-quotient mapping and Ng# α-quotient mapping are discussed. Furthermore, to emphasize Ng# α-quotient mapping a few examples are considered and derived in detail.

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17

Hudyma, U. V. "Best uniform approximation of a continuous compact-valued mapping by sets of continuous single-valued mappings." Ukrainian Mathematical Journal 57, no. 12 (December 2005): 1870–91. http://dx.doi.org/10.1007/s11253-006-0036-2.

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18

Singh Rajput, Alpa, S. S. Thakur, and Om Prakash Dubey. "SOFT ALMOST β-CONTINUITY IN SOFT TOPOLOGICAL SPACES." International Journal of Students' Research in Technology & Management 8, no. 2 (June 16, 2020): 06–14. http://dx.doi.org/10.18510/ijsrtm.2020.822.

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Purpose: In the present paper the concept of soft almost β-continuous mappings and soft almost β-open mappings in soft topological spaces have been introduced and studied. Methodology: This notion is weaker than both soft almost pre-continuous mappings, soft almost semi-continuous mapping. The diagrams of implication among these soft classes of soft mappings have been established. Main Findings: We extend the concept of almost β-continuous mappings and almost β-open mappings in soft topology. Implications: Mapping is an important and major area of topology and it can give many relationships between other scientific areas and mathematical models. This notion captures the idea of hanging-togetherness of image elements in an object by assigning strength of connectedness to every possible path between every possible pair of image elements. It is an important tool for the designing of algorithms for image segmentation. The novelty of Study: Hope that the concepts and results established in this paper will help the researcher to enhance and promote the further study on soft topology to carry out a general framework for the development of information systems.

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19

Chidume, C. E., K. R. Kazmi, and H. Zegeye. "Iterative approximation of a solution of a general variational-like inclusion in Banach spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 22 (2004): 1159–68. http://dx.doi.org/10.1155/s0161171204209395.

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We introduce a class ofη-accretive mappings in a real Banach space and show that theη-proximal point mapping forη-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involvingη-accretive mappings in real Banach space, and discuss its convergence criteria. The class ofη-accretive mappings includes several important classes of operators that have been studied by various authors.

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20

Liu, Zeqing, Haiyan Gao, Shin Min Kang, and Yong Soo Kim. "Coincidence and common fixed point theorems in compact Hausdorff spaces." International Journal of Mathematics and Mathematical Sciences 2005, no. 6 (2005): 845–53. http://dx.doi.org/10.1155/ijmms.2005.845.

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The existence of coincidence and fixed points for continuous mappings in compact Hausdorff spaces is established. Some equivalent conditions of the existence of fixed and common fixed points for any continuous mapping and a pair of mappings in compact Hausdorff spaces are given, respectively. Our results extend, improve, and unify the corresponding results due to Jungck, Liu, and Singh and Rao.

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21

Kirchheim. "DESCRIPTIVE MAPPING PROPERTIES OF TYPICAL CONTINUOUS FUNCTIONS." Real Analysis Exchange 20, no. 1 (1994): 359. http://dx.doi.org/10.2307/44152497.

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22

Hipp, A. L., and M. Escudero. "MATICCE: mapping transitions in continuous character evolution." Bioinformatics 26, no. 1 (October 30, 2009): 132–33. http://dx.doi.org/10.1093/bioinformatics/btp625.

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23

Hu, Renjie, Karl Ratner, Edward Ratner, Yoan Miche, Kaj-Mikael Björk, and Amaury Lendasse. "ELM-SOM+: A continuous mapping for visualization." Neurocomputing 365 (November 2019): 147–56. http://dx.doi.org/10.1016/j.neucom.2019.06.093.

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24

Lagarias, Jeffrey C., and Andrew D. Pollington. "The continuous Diophantine approximation mapping of Szekeres." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 59, no. 2 (October 1995): 148–72. http://dx.doi.org/10.1017/s1446788700038568.

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AbstractSzekeres defined a continuous analogue of the additive ordinary continued fraction expansion, which iterates a map T on a domain which can be identified with the unit square [0, 1]2. Associated to it are continuous analogues of the Lagrange and Markoff spectrum. Our main result is that these are identical with the usual Lagrange and Markoff spectra, respectively; thus providing an alternative characterization of them.Szekeres also described a multi-dimensional analogue of T, which iterates a map Td on a higherdimensional domain; he proposed using it to bound d-dimensional Diophantine approximation constants. We formulate several open problems concerning the Diophantine approximation properties of the map Td.

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25

Taniyama, Kouki. "Mapping a knot by a continuous map." Journal of Knot Theory and Its Ramifications 23, no. 10 (September 2014): 1450052. http://dx.doi.org/10.1142/s0218216514500527.

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By a fixed continuous map from a 3-space to itself, a knot in the 3-space may be mapped to another knot in the 3-space. We analyze possible knot types of them. Then we map a knot repeatedly by a fixed continuous map and analyze possible infinite sequences of knot types.

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26

Pant, Abhijit, and R. P. Pant. "Fixed points and continuity of contractive maps." Filomat 31, no. 11 (2017): 3501–6. http://dx.doi.org/10.2298/fil1711501p.

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The aim of this paper is to generalize celebrated results due to Boyd and Wong [2] and Matkowski [9] and also to provide yet new solutions to the once open problem on the existence of a contractive mapping which possesses a fixed point but is not continuous at the fixed point. Besides continuous mappings our results also apply to discontinuous mappings which include threshold operations that are integral part of many a phenomena.

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27

Ishihara, Hajime. "Continuity properties in constructive mathematics." Journal of Symbolic Logic 57, no. 2 (June 1992): 557–65. http://dx.doi.org/10.2307/2275292.

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AbstractThe purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We deal with principles which are equivalent to the statements “every mapping is sequentially nondiscontinuous”, “every sequentially nondiscontinuous mapping is sequentially continuous”, and “every sequentially continuous mapping is continuous”. As corollaries, we show that every mapping of a complete separable space is continuous in constructive recursive mathematics (the Kreisel-Lacombe-Schoenfield-Tsejtin theorem) and in intuitionism.

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28

Hardy, G., and H. B. Thompson. "Continuity of the superposition operator on Orlicz-Sobolev spaces." Bulletin of the Australian Mathematical Society 50, no. 1 (August 1994): 59–72. http://dx.doi.org/10.1017/s0004972700009576.

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We give sufficient conditions for a homogeneous superposition operator to be a continuous mapping between Orlicz-Sobolev spaces. This extends a result of Marcus and Mizel concerning mappings between Sobolev spaces.

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29

Shanjit, Laishram, Yumnam Rohen, and K. Anthony Singh. "Cyclic Relatively Nonexpansive Mappings with Respect to Orbits and Best Proximity Point Theorems." Journal of Mathematics 2021 (February 5, 2021): 1–7. http://dx.doi.org/10.1155/2021/6676660.

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In this article, we introduce cyclic relatively nonexpansive mappings with respect to orbits and prove that every cyclic relatively nonexpansive mapping with respect to orbits T satisfying T A ⊆ B , T B ⊆ A has a best proximity point. We also prove that Mann’s iteration process for a noncyclic relatively nonexpansive mapping with respect to orbits converges to a fixed point. These relatively nonexpansive mappings with respect to orbits need not be continuous. Some illustrations are given in support of our results.

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30

Jung, Jong. "Convergence of iterative algorithms for continuous pseudocontractive mappings." Filomat 30, no. 7 (2016): 1767–77. http://dx.doi.org/10.2298/fil1607767j.

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In this paper, we prove strong convergence of a path for a convex combination of a pseudocontractive type of operators in a real reflexive Banach space having a weakly continuous duality mapping J? with gauge function ?. Using path convergency, we establish strong convergence of an implicit iterative algorithm for a pseudocontractive mapping combined with a strongly pseudocontractive mapping in the same Banach space.

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31

Jung, Jong Soo. "Iterative Methods for Pseudocontractive Mappings in Banach Spaces." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/643602.

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LetEa reflexive Banach space having a uniformly Gâteaux differentiable norm. LetCbe a nonempty closed convex subset ofE,T:C→Ca continuous pseudocontractive mapping withF(T)≠∅, andA:C→Ca continuous bounded strongly pseudocontractive mapping with a pseudocontractive constantk∈(0,1). Let{αn}and{βn}be sequences in(0,1)satisfying suitable conditions and for arbitrary initial valuex0∈C, let the sequence{xn}be generated byxn=αnAxn+βnxn-1+(1-αn-βn)Txn, n≥1.If either every weakly compact convex subset ofEhas the fixed point property for nonexpansive mappings orEis strictly convex, then{xn}converges strongly to a fixed point ofT, which solves a certain variational inequality related toA.

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32

Kanetov, B. E., and A. M. Baidzhuranova. "Paracompact-type mappings." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 102, no. 2 (June 30, 2021): 62–66. http://dx.doi.org/10.31489/2021m2/62-66.

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Recently a new direction of uniform topology called the uniform topology of uniformly continuous mappings has begun to develop intensively. This direction is devoted, first of all, to the extension to uniformly continuous mappings of the basic concepts and statements concerning uniform spaces. In this case a uniform space is understood as the simplest uniformly continuous mapping of this uniform space into a one-point space. The investigations carried out have revealed large uniform analogs of continuous mappings and made it possible to transfer to uniformly continuous mappings many of the main statements of the uniform topology of spaces. The method of transferring results from spaces to mappings makes it possible to generalize many results. Therefore, the problem of extending some concepts and statements concerning uniform spaces to uniformly continuous mappings is urgent. In this article, we introduce and study uniformly R-paracompact, strongly uniformly R-paracompact, and uniformly R-superparacompact mappings. In particular, we solve the problem of preserving R-paracompact (respectively, strongly uniformly R-paracompact, uniformly R-superparacompact) spaces towards the preimage under uniformly R-paracompact (respectively, strongly uniformly R-paracompact, uniformly R-superparacompact) mappings.

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33

Bridges, Douglas, and Hannes Diener. "The pseudocompactness of [0.1] is equivalent to the uniform continuity theorem." Journal of Symbolic Logic 72, no. 4 (December 2007): 1379–84. http://dx.doi.org/10.2178/jsl/1203350793.

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AbstractWe prove constructively that, in order to derive the uniform continuity theorem for pointwise continuous mappings from a compact metric space into a metric space, it is necessary and sufficient to prove any of a number of equivalent conditions, such as that every pointwise continuous mapping of [0, 1] into ℝ is bounded. The proofs are analytic, making no use of, for example, fan-theoretic ideas.

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34

KARLOVA, OLENA. "EXTENSION OF CONTINUOUS MAPPINGS AND H1-RETRACTS." Bulletin of the Australian Mathematical Society 78, no. 3 (December 2008): 497–506. http://dx.doi.org/10.1017/s0004972708000907.

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AbstractWe prove that any continuous mapping f:E→Y on a completely metrizable subspace E of a perfect paracompact space X can be extended to a Lebesgue class one mapping g:X→Y (that is, for every open set V in Y the preimage g−1(V ) is an Fσ-set in X) with values in an arbitrary topological space Y.

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35

Glivenko, E. V., A. S. Fomochkina, and T. V. Prokhorova. "THE IDEA OF APPLICATION THE DEGREE OF A CONTINUOUS MAPPING FOR EARTHQUACKE PREDICTION." Issues of radio electronics, no. 5 (May 20, 2018): 54–58. http://dx.doi.org/10.21778/2218-5453-2018-5-54-58.

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The paper describes the possibility of constructing continuous mappings and calculating the degree of mapping with reference to the prediction earthquakes. At the beginning of the article, a definition of the degree of mapping is given. Then several approaches to the construction of possible vector fields are described. It is assumed that the fixed point of these vector fields will be destructive earthquake. In the first approach, the vector fields under consideration describe the geological behavior of the Earth, namely its motion and the plane of discontinuity in the epicenters of earthquakes. In the second approach fields connect foreshocks that are earthquakes that precede the destructive event. At the end of the article, examples of the successful and unsuccessful application of second approach are given. The study based on data from catalog of the NEIC (National Earthquake Information Center).

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36

Song, Qi-Qing. "On Stability of Fixed Points for Multi-Valued Mappings with an Application." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/978257.

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This paper studies the stability of fixed points for multi-valued mappings in relation to selections. For multi-valued mappings admitting Michael selections, some examples are given to show that the fixed point mapping of these mappings are neither upper semi-continuous nor almost lower semi-continuous. Though the set of fixed points may be not compact for multi-valued mappings admitting Lipschitz selections, by finding sub-mappings of such mappings, the existence of minimal essential sets of fixed points is proved, and we show that there exists at least an essentially stable fixed point for almost all these mappings. As an application, we deduce an essentially stable result for differential inclusion problems.

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37

ZHAO, Tieshi. "Continuous Stiffness Nonlinear Mapping of Spatial Parallel Mechanism." Chinese Journal of Mechanical Engineering 44, no. 08 (2008): 20. http://dx.doi.org/10.3901/jme.2008.08.020.

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38

Lavin, Stephen. "Mapping Continuous Geographical Distributions Using Dot-Density Shading." American Cartographer 13, no. 2 (January 1986): 140–50. http://dx.doi.org/10.1559/152304086783900068.

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39

MacEachren, Alan M., and John V. Davidson. "Sampling and Isometric Mapping of Continuous Geographic Surfaces." American Cartographer 14, no. 4 (January 1987): 299–320. http://dx.doi.org/10.1559/152304087783875723.

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40

Konstantinoudis, Garyfallos, Dominic Schuhmacher, Håvard Rue, and Ben D. Spycher. "Discrete versus continuous domain models for disease mapping." Spatial and Spatio-temporal Epidemiology 32 (February 2020): 100319. http://dx.doi.org/10.1016/j.sste.2019.100319.

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41

Lum, Daniel J., Samuel H. Knarr, and John C. Howell. "Frequency-modulated continuous-wave LiDAR compressive depth-mapping." Optics Express 26, no. 12 (June 4, 2018): 15420. http://dx.doi.org/10.1364/oe.26.015420.

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42

Kadambavanam, K., and K. Vaithiyalingam. "On Intuitionistic Fuzzy Weakly π Generalized Continuous Mapping." International Journal of Computer Applications 140, no. 11 (April 15, 2016): 14–18. http://dx.doi.org/10.5120/ijca2016909487.

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43

Zen, Heiga, Yoshihiko Nankaku, and Keiichi Tokuda. "Continuous Stochastic Feature Mapping Based on Trajectory HMMs." IEEE Transactions on Audio, Speech, and Language Processing 19, no. 2 (February 2011): 417–30. http://dx.doi.org/10.1109/tasl.2010.2049685.

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44

Williams, Jocelyn. "Mapping community media impact: iterative cycles, continuous review." Communication Research and Practice 3, no. 1 (December 27, 2016): 74–91. http://dx.doi.org/10.1080/22041451.2016.1266582.

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45

McBratney, A. B., J. J. De Gruijter, and D. J. Brus. "Spacial prediction and mapping of continuous soil classes." Geoderma 54, no. 1-4 (September 1992): 39–64. http://dx.doi.org/10.1016/0016-7061(92)90097-q.

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46

Maldonado, A. D., P. A. Aguilera, and A. Salmerón. "Continuous Bayesian networks for probabilistic environmental risk mapping." Stochastic Environmental Research and Risk Assessment 30, no. 5 (July 31, 2015): 1441–55. http://dx.doi.org/10.1007/s00477-015-1133-2.

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47

Gunduz (Aras), Cigdem, and Sadi Bayramov. "Some Results on Fuzzy Soft Topological Spaces." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/835308.

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We introduce some important properties of fuzzy soft topological spaces. Furthermore, fuzzy soft continuous mapping, fuzzy soft open and fuzzy soft closed mappings, and fuzzy soft homeomorphism for fuzzy soft topological spaces are given and structural characteristics are discussed and studied.

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48

Yoo, Young K., and Frank Tsui. "Continuous Phase Diagramming of Epitaxial Films." MRS Bulletin 27, no. 4 (April 2002): 316–23. http://dx.doi.org/10.1557/mrs2002.99.

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AbstractHigh-throughput and systematic studies of complex materials systems using the approach of “continuous phase diagramming” (CPD) are described in this article. The discussions focus on the techniques of epitaxial film synthesis of CPD and mapping physical and structural properties, using two different material systems as examples: doped perovskite manganese oxides and magnetic alloys. In doped perovskite manganese oxides, a highly correlated system, mapping the optical, electrical, and magnetic properties, reveals surprising evidence of electronic phase transitions that correlate with the low-temperature magnetic order. In magnetic alloys, application of CPD, particularly using real-time characterization during epitaxial growth, makes it possible to examine structure–property relations systematically.

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Liu, Zeqing, Lili Zhang, and Shin Min Kang. "On characterizations of fixed points." International Journal of Mathematics and Mathematical Sciences 27, no. 7 (2001): 391–97. http://dx.doi.org/10.1155/s0161171201007037.

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Abstract:

We give some necessary and sufficient conditions for the existence of fixed points of a family of self mappings of a metric space and we establish an equivalent condition for the existence of fixed points of a continuous compact mapping of a metric space.

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Batsari, Umar, Poom Kumam, and Kanokwan Sitthithakerngkiet. "Some Globally Stable Fixed Points in b-Metric Spaces." Symmetry 10, no. 11 (October 30, 2018): 555. http://dx.doi.org/10.3390/sym10110555.

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Abstract:

In this paper, the existence and uniqueness of globally stable fixed points of asymptotically contractive mappings in complete b-metric spaces were studied. Also, we investigated the existence of fixed points under the setting of a continuous mapping. Furthermore, we introduce a contraction mapping that generalizes that of Banach, Kanan, and Chatterjea. Using our new introduced contraction mapping, we establish some results on the existence and uniqueness of fixed points. In obtaining some of our results, we assume that the space is associated with a partial order, and the b-metric function has the regularity property. Our results improve, and generalize some current results in the literature.

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