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Journal articles on the topic 'Weakly sequentially continuous mappings'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Cilia, Raffaella, and Joaquín M. Gutiérrez. "Weakly sequentially continuous differentiable mappings." Journal of Mathematical Analysis and Applications 360, no. 2 (2009): 609–23. http://dx.doi.org/10.1016/j.jmaa.2009.07.002.

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2

O'regan, D. "Fixed-point theory for weakly sequentially continuous mappings." Mathematical and Computer Modelling 27, no. 5 (1998): 1–14. http://dx.doi.org/10.1016/s0895-7177(98)00014-4.

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3

Garcia-Falset, J., and K. Latrach. "Krasnoselskii-type fixed-point theorems for weakly sequentially continuous mappings." Bulletin of the London Mathematical Society 44, no. 1 (2011): 25–38. http://dx.doi.org/10.1112/blms/bdr035.

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4

O’Regan, Donal, and Mohamed-Aziz Taoudi. "Fixed point theorems for the sum of two weakly sequentially continuous mappings." Nonlinear Analysis: Theory, Methods & Applications 73, no. 2 (2010): 283–89. http://dx.doi.org/10.1016/j.na.2010.03.009.

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5

Shehu, Yekini, and Jerry N. Ezeora. "Path Convergence and Approximation of Common Zeroes of a Finite Family ofm-Accretive Mappings in Banach Spaces." Abstract and Applied Analysis 2010 (2010): 1–14. http://dx.doi.org/10.1155/2010/285376.

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LetEbe a real Banach space which is uniformly smooth and uniformly convex. LetKbe a nonempty, closed, and convex sunny nonexpansive retract ofE, whereQis the sunny nonexpansive retraction. IfEadmits weakly sequentially continuous duality mappingj, path convergence is proved for a nonexpansive mappingT:K→K. As an application, we prove strong convergence theorem for common zeroes of a finite family ofm-accretive mappings ofKtoE. As a consequence, an iterative scheme is constructed to converge to a common fixed point (assuming existence) of a finite family of pseudocontractive mappings fromKtoEun

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6

Liu, Liya, Xiaolong Qin, and Jen-Chih Yao. "Strong Convergent Theorems Governed by Pseudo-Monotone Mappings." Mathematics 8, no. 8 (2020): 1256. http://dx.doi.org/10.3390/math8081256.

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The purpose of this paper is to introduce two different kinds of iterative algorithms with inertial effects for solving variational inequalities. The iterative processes are based on the extragradient method, the Mann-type method and the viscosity method. Convergence theorems of strong convergence are established in Hilbert spaces under mild assumption that the associated mapping is Lipschitz continuous, pseudo-monotone and sequentially weakly continuous. Numerical experiments are performed to illustrate the behaviors of our proposed methods, as well as comparing them with the existing one in

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7

Amar, Afif Ben, and Maher Mnif. "Leray-Schauder alternatives for weakly sequentially continuous mappings and application to transport equation." Mathematical Methods in the Applied Sciences 33, no. 1 (2009): 80–90. http://dx.doi.org/10.1002/mma.1152.

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8

Sharma, Rajinder, and Deepti Thakur. "Some fixed point theorems in multiplicative metric spaces via compatible of type (E) and weakly sub-sequentially continuous mappings." Journal of Nonlinear Sciences and Applications 13, no. 02 (2019): 107–12. http://dx.doi.org/10.22436/jnsa.013.02.05.

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9

Ben Amar, Afif, Ines Feki, and Aref Jeribi. "Leray–Schauder and Furi–Pera types fixed point theorems for the sum of two weakly sequentially continuous mappings and application to transport equation." Afrika Matematika 25, no. 3 (2013): 707–22. http://dx.doi.org/10.1007/s13370-013-0147-5.

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10

Wangkeeree, Rattanaporn. "Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–21. http://dx.doi.org/10.1155/2011/643740.

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LetEbe a real reflexive Banach space which admits a weakly sequentially continuous duality mapping fromEtoE*. LetS={T(s):0≤s<∞}be a nonexpansive semigroup onEsuch thatFix(S):=⋂t≥0Fix(T(t))≠∅, andfis a contraction onEwith coefficient0<α<1. LetFbeδ-strongly accretive andλ-strictly pseudocontractive withδ+λ>1andγa positive real number such thatγ<1/α(1-1-δ/λ). When the sequences of real numbers{αn}and{tn}satisfy some appropriate conditions, the three iterative processes given as follows:xn+1=αnγf(xn)+(I-αnF)T(tn)xn,n≥0,yn+1=αnγf(T(tn)yn)+(I-αnF)T(tn)yn,n≥0, andzn+1=T(tn)(αnγf(zn)+(I

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11

Cilia, Raffaella, and Joaquín M. Gutiérrez. "Factorization of weakly continuous differentiable mappings." Bulletin of the Brazilian Mathematical Society, New Series 40, no. 3 (2009): 371–80. http://dx.doi.org/10.1007/s00574-009-0016-x.

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12

SEN, ASIT KUMAR, and P. BHATTACHARYYA. "ON WEAKLY $\alpha$-CONTINUOUS FUNCTIONS." Tamkang Journal of Mathematics 24, no. 4 (1993): 445–60. http://dx.doi.org/10.5556/j.tkjm.24.1993.4516.

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   The concept of weakly $\alpha$-continuous functions has been in troduced by T. Noiri [16]. In this paper the class of weakly a-continuous functions is further investigated and the interrelationship between this class of mappings and other relevant classes are established. Relation ship between weakly $\alpha$-continuous mappings and some separation axioms has also been studied.   

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13

Bridges, Douglas, and Ray Mines. "Sequentially continuous linear mappings in constructive analysis." Journal of Symbolic Logic 63, no. 2 (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] h

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14

Aron, Richard M., and Pablo Galindo. "Weakly compact multilinear mappings." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (1997): 181–92. http://dx.doi.org/10.1017/s0013091500023543.

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The notion of Arens regularity of a bilinear form on a Banach space E is extended to continuous m-linear forms, in such a way that the natural associated linear mappings, E→L (m−1E) and (m – l)-linear mappings E × … × E → E', are all weakly compact. Among other applications, polynomials whose first derivative is weakly compact are characterized.

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15

Bunce, L. J., C. H. Chu, and B. Zalar. "Classification of sequentially weakly continuous $JB^*$ -triples." Mathematische Zeitschrift 234, no. 1 (2000): 191–208. http://dx.doi.org/10.1007/s002090050509.

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16

Mirmostafaee, Alireza Kamel. "Norm continuity of weakly quasi-continuous mappings." Colloquium Mathematicum 122, no. 1 (2011): 83–91. http://dx.doi.org/10.4064/cm122-1-8.

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17

Min, Won-Keun. "INTERVAL-VALUED FUZZY WEAKLY α-CONTINUOUS MAPPINGS". Honam Mathematical Journal 30, № 4 (2008): 713–21. http://dx.doi.org/10.5831/hmj.2008.30.4.713.

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18

Min, Won-Keun, та Young-Ho Yoo. "FUZZY α-WEAKLY (r, s)-CONTINUOUS MAPPINGS". Honam Mathematical Journal 31, № 1 (2009): 97–107. http://dx.doi.org/10.5831/hmj.2009.31.1.097.

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19

Min, Won-Keun. "On Fuzzy S-Weakly r-Continuous Mappings." International Journal of Fuzzy Logic and Intelligent Systems 9, no. 3 (2009): 224–27. http://dx.doi.org/10.5391/ijfis.2009.9.3.224.

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20

Min, Won-Keun. "On Fuzzy α-Weakly r-Continuous Mappings". International Journal of Fuzzy Logic and Intelligent Systems 9, № 3 (2009): 228–31. http://dx.doi.org/10.5391/ijfis.2009.9.3.228.

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21

Braga, B. M. "Nonlinear Weakly Sequentially Continuous Embeddings Between Banach Spaces." International Mathematics Research Notices 2020, no. 18 (2018): 5506–33. http://dx.doi.org/10.1093/imrn/rny181.

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Abstract In these notes, we study nonlinear embeddings between Banach spaces that are also weakly sequentially continuous. In particular, our main result implies that if a Banach space $X$ coarsely (resp. uniformly) embeds into a Banach space $Y$ by a weakly sequentially continuous map, then every spreading model $(e_n)_n$ of a normalized weakly null sequence in $X$ satisfies $$ \|e_1+\ldots+e_k\|_{\overline{\delta}_Y}\lesssim\|e_1+\ldots+e_k\|_S,$$where $\overline{\delta }_Y$ is the modulus of asymptotic uniform convexity of $Y$. Among other results, we obtain Banach spaces $X$ and $Y$ so tha

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22

Bonanno, Gabriele, Pasquale Candito, and Dumitru Motreanu. "A coincidence point theorem for sequentially continuous mappings." Journal of Mathematical Analysis and Applications 435, no. 1 (2016): 606–15. http://dx.doi.org/10.1016/j.jmaa.2015.10.039.

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23

Min, Won-Keun. "On Fuzzy S-weakly (r,s)-Continuous Mappings." Journal of Korean Institute of Intelligent Systems 19, no. 1 (2009): 128–32. http://dx.doi.org/10.5391/jkiis.2009.19.1.128.

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24

Min, Won-Keun. "On Interval-Valued Fuzzy Weakly M-continuous Mappings." International Journal of Fuzzy Logic and Intelligent Systems 9, no. 2 (2009): 128–32. http://dx.doi.org/10.5391/ijfis.2009.9.2.128.

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25

Agarwal, Ravi P., Donal O'Regan, and Xinzhi Liu. "A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps." Fixed Point Theory and Applications 2005, no. 1 (2005): 708016. http://dx.doi.org/10.1155/fpta.2005.1.

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26

Kenderov, P. S., I. S. Kortezov, and W. B. Moors. "Norm continuity of weakly continuous mappings into Banach spaces." Topology and its Applications 153, no. 14 (2006): 2745–59. http://dx.doi.org/10.1016/j.topol.2005.11.007.

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27

Agarwal, R. P., and Donal O'Regan. "Weakly sequentially continuous maps and existence principles for elliptic equations." Applicationes Mathematicae 30, no. 4 (2003): 451–60. http://dx.doi.org/10.4064/am30-4-7.

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28

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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29

Min, Won-Keun. "ON IVF WEAKLY CONTINUOUS MAPPINGS ON THE IVF TOPOLOGICAL SPACES." Honam Mathematical Journal 30, no. 3 (2008): 557–66. http://dx.doi.org/10.5831/hmj.2008.30.3.557.

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30

Burlandy, P. A., and L. A. Moraes. "The spectrum of an algebra of weakly continuous holomorphic mappings." Indagationes Mathematicae 11, no. 4 (2000): 525–32. http://dx.doi.org/10.1016/s0019-3577(00)80021-x.

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31

Amar, Afif Ben, and Aneta Sikorska-Nowak. "On Some Fixed Point Theorems for 1-Set Weakly Contractive Multi-Valued Mappings with Weakly Sequentially Closed Graph." Advances in Pure Mathematics 01, no. 04 (2011): 163–69. http://dx.doi.org/10.4236/apm.2011.14030.

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32

Samanmit, K., та B. Panyanak. "On Multivalued Nonexpansive Mappings in ℝ-Trees". Journal of Applied Mathematics 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/629149.

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The relationships between nonexpansive, weakly nonexpansive,*-nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, andɛ-semicontinuous mappings inℝ-trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.

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33

Amar, Afif Ben. "Krasnoselskii type fixed point theorems for multi-valued mappings with weakly sequentially closed graph." ANNALI DELL'UNIVERSITA' DI FERRARA 58, no. 1 (2012): 1–10. http://dx.doi.org/10.1007/s11565-011-0146-0.

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34

Vijayabaskerreddy, B., and V. Srinivas. "Fixed Point Results on Multiplicative Semi-Metric Space." Journal of Scientific Research 12, no. 3 (2020): 341–48. http://dx.doi.org/10.3329/jsr.v12i3.44754.

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 In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show that compatible mappings of type-E, weakly compatible mappings and reciprocally-continuous mappings are weaker forms of compatible mappings and continuous mappings respectively. The main objective of this article is to prove the unique common fix

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35

Manro, Saurabh, Sanjay Kumar, S. S. Bhatia, and Kenan Tas. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces." Journal of Applied Mathematics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/189321.

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This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwiseR-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings o

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36

Caponetti, D., and A. Trombetta. "A remark on weakly convex continuous mappings in topological linear spaces." Topology and its Applications 156, no. 10 (2009): 1767–69. http://dx.doi.org/10.1016/j.topol.2009.03.006.

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37

Gonzalez, M., and J. M. Gutierrez. "Weakly Continuous Mappings on Banach Spaces with the Dunford-Pettis Property." Journal of Mathematical Analysis and Applications 173, no. 2 (1993): 470–82. http://dx.doi.org/10.1006/jmaa.1993.1080.

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38

Chauhan, Sunny, Wasfi Shatanawi, Stojan Radenović, and Issam Abu-Irwaq. "Variants of sub-sequentially continuous mappings and integral-type fixed point results." Rendiconti del Circolo Matematico di Palermo (1952 -) 63, no. 1 (2013): 53–72. http://dx.doi.org/10.1007/s12215-013-0141-7.

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39

GOMAA, ADEL MAHMOUD. "ON BOUNDED WEAK AND PSEUDO-SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS HAVING TRICHOTOMY WITH AND WITHOUT DELAY IN BANACH SPACES." International Journal of Geometric Methods in Modern Physics 07, no. 03 (2010): 357–66. http://dx.doi.org/10.1142/s0219887810004336.

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In the present work we consider E is a Banach space, E* is its dual space and L(E) is the space of continuous linear operators from E to itself. A function x: ℝ → E is said to be a pseudo-solution of the equation [Formula: see text] where A:ℝ → L(E) is strongly measurable and Bochner integrable function on every finite subinterval of ℝ with f:ℝ × E → E is only assumed to be weakly weakly sequentially continuous or Pettis-integrable and the linear equation [Formula: see text] has a trichotomy with constants α ≥ 1 and σ > 0, if x is absolutely continuous function and for each x* ∈ E* there ex

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40

CHOBAN, MITROFAN M. "Fixed points for mappings defined on generalized gauge spaces." Carpathian Journal of Mathematics 31, no. 3 (2015): 313–24. http://dx.doi.org/10.37193/cjm.2015.03.07.

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In this article, the distinct classes of continuous pseudo-gauge structures and pseudometrics (perfect, quasiperfect, sequentially complete) are defined and studied in depth. The conditions under which the set of fixed points of a given mapping of a space with concrete pseudo-gauge structure is non-empty are determined. Some examples are proposed.

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41

CHOBAN, MITROFAN M. "Fixed points for mappings defined on pseudometric spaces." Creative Mathematics and Informatics 22, no. 2 (2013): 173–84. http://dx.doi.org/10.37193/cmi.2013.02.04.

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In this article, the distinct classes of continuous pseudometrics and metrics (perfect, quasi-perfect, sequentially complete pseudometrics and metrics) are defined and studied in depth. The conditions under which the set of fixed points of a given mapping of a space with concrete pseudometric is non-empty are determined. Some examples are proposed. For spaces with pseudometrics there are proved the Bishop-Phelps, Takahashi, Caristy and other theorems.

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42

Kaewkhao, A., and K. Sokhuma. "Remarks on Asymptotic Centers and Fixed Points." Abstract and Applied Analysis 2010 (2010): 1–5. http://dx.doi.org/10.1155/2010/247402.

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We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach spaceX. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings.

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43

Thakur, Samajh Singh, and Alpa Singh Rajput. "Connectedness Between Soft Sets." New Mathematics and Natural Computation 14, no. 01 (2018): 53–71. http://dx.doi.org/10.1142/s1793005718500059.

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44

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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45

Brešar, Matej, and Peter Šemrl. "Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations." Canadian Journal of Mathematics 45, no. 3 (1993): 483–96. http://dx.doi.org/10.4153/cjm-1993-025-4.

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AbstractIt is proved that linear mappings of matrix algebras which preserve idempotents are Jordan homomorphisms. Applying this theorem we get some results concerning local derivations and local automorphisms. As an another application, the complete description of all weakly continuous linear surjective mappings on standard operator algebras which preserve projections is obtained. We also study local ring derivations on commutative semisimple Banach algebras.

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46

FERNÁNDEZ-UNZUETA, MAITE. "ON A NORMAL FORM FOR NON-WEAKLY SEQUENTIALLY CONTINUOUS POLYNOMIALS ON BANACH SPACES." Bulletin of the London Mathematical Society 36, no. 06 (2004): 793–801. http://dx.doi.org/10.1112/s0024609304003479.

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47

Kumam, Poom, Wutiphol Sintunavarat, Shaban Sedghi, and Nabi Shobkolaei. "Common Fixed Point of TwoR-Weakly Commuting Mappings inb-Metric Spaces." Journal of Function Spaces 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/350840.

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We prove some common fixed point results for two mappings satisfying generalized contractive condition inb-metric space. Note thatb-metric of main results in this work are not necessarily continuous. So our results extend and improve several previous works. We also present one example that shows the applicability and usefulness of our results.

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48

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 str

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49

Yang, Ting, та Ahmed Mostafa Khalil. "On Strongly b − θ -Continuous Mappings in Fuzzifying Topology". Mathematical Problems in Engineering 2021 (3 червня 2021): 1–15. http://dx.doi.org/10.1155/2021/3244618.

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In this article, we will define the new notions (e.g., b − θ -neighborhood system of point, b − θ -closure (interior) of a set, and b − θ -closed (open) set) based on fuzzy logic (i.e., fuzzifying topology). Then, we will explain the interesting properties of the above five notions in detail. Several basic results (for instance, Definition 7, Theorem 3 (iii), (v), and (vi), Theorem 5, Theorem 9, and Theorem 4.6) in classical topology are generalized in fuzzy logic. In addition to, we will show that every fuzzifying b − θ -closed set is fuzzifying γ -closed set (by Theorem 3 (vi)). Further, we

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50

Sikorska-Nowak, Aneta. "Integrodifferential Equations on Time Scales with Henstock-Kurzweil-Pettis Delta Integrals." Abstract and Applied Analysis 2010 (2010): 1–17. http://dx.doi.org/10.1155/2010/836347.

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We prove existence theorems for integro-differential equations , , , , where denotes a time scale (nonempty closed subset of real numbers ), and is a time scale interval. The functions are weakly-weakly sequentially continuous with values in a Banach space , and the integral is taken in the sense of Henstock-Kurzweil-Pettis delta integral. This integral generalizes the Henstock-Kurzweil delta integral and the Pettis integral. Additionally, the functions and satisfy some boundary conditions and conditions expressed in terms of measures of weak noncompactness. Moreover, we prove Ambrosetti's lem

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