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Artykuły w czasopismach na temat „Random fixed”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Thang, Dang Hung, and Pham The Anh. "Random fixed points of completely random operators." Random Operators and Stochastic Equations 21, no. 1 (2013): 1–20. http://dx.doi.org/10.1515/rose-2013-0001.

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2

Shahzad, N. "Random fixed points of discontinuous random maps." Mathematical and Computer Modelling 41, no. 13 (2005): 1431–36. http://dx.doi.org/10.1016/j.mcm.2004.02.036.

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3

Khan, Abdul Rahim, and Nawab Hussain. "Random fixed points for ∗-nonexpansive random operators." Journal of Applied Mathematics and Stochastic Analysis 14, no. 4 (2001): 341–49. http://dx.doi.org/10.1155/s1048953301000302.

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The notion of a ∗-nonexpansive multivalued map is different from that of a continuous map. In this paper we prove some fixed point theorems for ∗-nonexpansive multivalued random operators in the setup of Banach spaces and Fréchet spaces. Our work generalizes, refines and improves the earlier results of a number of authors.

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4

Beg, Ismat, and Naseer Shahzad. "Random approximations and random fixed point theorems." Journal of Applied Mathematics and Stochastic Analysis 7, no. 2 (1994): 145–50. http://dx.doi.org/10.1155/s1048953394000158.

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5

Papageorgiou, Nikolaos S. "Random fixed points and random differential inclusions." International Journal of Mathematics and Mathematical Sciences 11, no. 3 (1988): 551–59. http://dx.doi.org/10.1155/s0161171288000663.

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In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. Finally we consider a random differential inclusion with upper semicontinuous orientor field and establish the existence of random solutions.

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6

Baker, T. H., and P. J. Forrester. "Random walks and random fixed-point free involutions." Journal of Physics A: Mathematical and General 34, no. 28 (2001): L381—L390. http://dx.doi.org/10.1088/0305-4470/34/28/101.

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7

Khan, A. R., and A. A. Domlo. "Random fixed points of multivalued inward random operators." Journal of Applied Mathematics and Stochastic Analysis 2006 (November 9, 2006): 1–8. http://dx.doi.org/10.1155/jamsa/2006/19428.

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The purpose of this paper is to provide a substantial improvement and random analogues of several results due to Benavides and Ramírez (2004). Our work sets random versions of the results of Shahzad and Lone (2005) and improves the work of Plubtieng and Kumam (2006).

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8

Beg, Ismat, and Mujahid Abbas. "Common random fixed points of compatible random operators." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–15. http://dx.doi.org/10.1155/ijmms/2006/23486.

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We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.

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9

Shahzad, Naseer. "Random fixed points of pseudo-contractive random operators." Journal of Mathematical Analysis and Applications 296, no. 1 (2004): 302–8. http://dx.doi.org/10.1016/j.jmaa.2004.04.017.

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10

Dermoune, Azzouz, and Cristian Preda. "Parametrizations, fixed and random effects." Journal of Multivariate Analysis 154 (February 2017): 162–76. http://dx.doi.org/10.1016/j.jmva.2016.11.001.

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11

Visscher, P. M., and M. E. Goddard. "Fixed and Random Contemporary Groups." Journal of Dairy Science 76, no. 5 (1993): 1444–54. http://dx.doi.org/10.3168/jds.s0022-0302(93)77475-5.

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12

Gurka, Matthew J., George A. Kelley, and Lloyd J. Edwards. "Fixed and random effects models." Wiley Interdisciplinary Reviews: Computational Statistics 4, no. 2 (2011): 181–90. http://dx.doi.org/10.1002/wics.201.

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13

Malih, Sabah Hassan. "Random fixed point for random Fibonacci Noor iteration scheme." Journal of Interdisciplinary Mathematics 24, no. 3 (2021): 775–79. http://dx.doi.org/10.1080/09720502.2021.1884392.

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14

Shahzad, Naseer, and Liaqat Ali Khan. "Random fixed point theorems for multivalued acyclic random maps." Stochastic Analysis and Applications 17, no. 5 (1999): 835–40. http://dx.doi.org/10.1080/07362999908809637.

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15

V'et, Nguen Khyu. "Random fixed point theorem for a random multivalued mapping." Mathematical Notes of the Academy of Sciences of the USSR 38, no. 2 (1985): 654–57. http://dx.doi.org/10.1007/bf01156247.

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16

Beg, Ismat, and Mujahid Abbas. "Random fixed point theorems for Caristi type random operators." Journal of Applied Mathematics and Computing 25, no. 1-2 (2007): 425–34. http://dx.doi.org/10.1007/bf02832367.

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17

Khan, Abdul Rahim, A. B. Thaheem, and Nawab Hussain. "Random Fixed Points and Random Approximations in Nonconvex Domains." Journal of Applied Mathematics and Stochastic Analysis 15, no. 3 (2002): 247–53. http://dx.doi.org/10.1155/s1048953302000217.

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Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.

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18

Duan, Huagui, and Guozhen Li. "Random Mann iteration scheme and random fixed point theorems." Applied Mathematics Letters 18, no. 1 (2005): 109–15. http://dx.doi.org/10.1016/j.aml.2004.07.019.

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19

Li, Guozhen, and Huagui Duan. "On random fixed point theorems of random monotone operators." Applied Mathematics Letters 18, no. 9 (2005): 1019–26. http://dx.doi.org/10.1016/j.aml.2004.10.006.

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20

O'Regan, Donal. "Fixed points and random fixed points for α-Lipschitzian maps". Nonlinear Analysis: Theory, Methods & Applications 37, № 4 (1999): 537–44. http://dx.doi.org/10.1016/s0362-546x(98)00071-6.

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21

Salahuddin. "Approximation of random fixed point theorems." Interdisciplinary journal of Discontinuity, Nonlinearity and Complexity 7, no. 1 (2018): 95–105. http://dx.doi.org/10.5890/dnc.2018.03.008.

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22

Setodji, Claude M., and Michael Shwartz. "Fixed-effect or Random-effect Models." Medical Care 51, no. 1 (2013): 25–27. http://dx.doi.org/10.1097/mlr.0b013e31827a8bb0.

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23

Tan, Kok-Keong, and Xian-Zhi Yuan. "On deterministic and random fixed points." Proceedings of the American Mathematical Society 119, no. 3 (1993): 849. http://dx.doi.org/10.1090/s0002-9939-1993-1169051-2.

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24

Verkama, Markku. "Random Relaxation of Fixed-Point Iteration." SIAM Journal on Scientific Computing 17, no. 4 (1996): 906–12. http://dx.doi.org/10.1137/0917058.

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25

Tan, Kok-Keong, and Xian-Zhi Yuan. "Random fixed point theorems and approximation." Stochastic Analysis and Applications 15, no. 1 (1997): 103–23. http://dx.doi.org/10.1080/07362999708809466.

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26

LUNDAHL, D. S., and M. R. McDANIEL. "THE PANELIST EFFECT ? FIXED OR RANDOM?" Journal of Sensory Studies 3, no. 2 (1988): 113–21. http://dx.doi.org/10.1111/j.1745-459x.1988.tb00434.x.

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27

O'regan, Donal. "Random fixed point theory with applications." Nonlinear Analysis: Theory, Methods & Applications 30, no. 6 (1997): 3295–99. http://dx.doi.org/10.1016/s0362-546x(96)00158-7.

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28

Klaassen, Chris A. J. "Random and fixed replacement sampling plans." Journal of Statistical Planning and Inference 25, no. 2 (1990): 153–61. http://dx.doi.org/10.1016/0378-3758(90)90063-z.

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29

Zhu, Chuanxi, and Chunfang Chen. "Calculations of random fixed point index." Journal of Mathematical Analysis and Applications 339, no. 2 (2008): 839–44. http://dx.doi.org/10.1016/j.jmaa.2007.07.040.

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30

Huang, Bai. "Combined fixed and random effects estimators." Communications in Statistics - Simulation and Computation 49, no. 8 (2018): 1945–56. http://dx.doi.org/10.1080/03610918.2018.1510523.

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31

Izeki, Hiroyasu, Takefumi Kondo, and Shin Nayatani. "Fixed-point property of random groups." Annals of Global Analysis and Geometry 35, no. 4 (2008): 363–79. http://dx.doi.org/10.1007/s10455-008-9139-3.

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32

Yuan, Xian-Zhi, Xun Luo, and Gang Li. "Random Approximations and Fixed Point Theorems." Journal of Approximation Theory 84, no. 2 (1996): 172–87. http://dx.doi.org/10.1006/jath.1996.0014.

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33

Propad, Y. V., and I. A. Kruglov. "Random structure generator with fixed environment." Acta Crystallographica Section A Foundations and Advances 79, a2 (2023): C891. http://dx.doi.org/10.1107/s2053273323087302.

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34

FEDORENKO, ANDREI A., and STEFFEN TRIMPER. "RANDOM WALKS IN RANDOM ENVIRONMENT WITH LONG-RANGE CORRELATED DRIFT FORCE." International Journal of Modern Physics B 16, no. 24 (2002): 3561–66. http://dx.doi.org/10.1142/s0217979202013110.

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We consider the random walk in a d-dimensional environment with positionally random drift forces obeying power law correlations ~ |x|-a for large distances x. This model is studied using a renormalization group expansion in ε = 2 - d, δ = 2-a. We find a new long-range fixed point in addition to the short range correlation and the pure fixed points found previously. The new fixed point is stable for δ > 2ε, δ > 0 and it leads to a subdiffusive long-time behavior with dynamical critical exponent z = 2 + (1/2) δ2.

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35

Patriche, Monica. "Random fixed point theorems for lower semicontinuous condensing random operators." Fixed Point Theory 19, no. 1 (2018): 369–78. http://dx.doi.org/10.24193/fpt-ro.2018.1.28.

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36

Chen, Ning, Bao Dan Tian, and Ji Qian Chen. "Some Random Fixed Point Theorems and Comparing Random Operator Equations." Applied Mechanics and Materials 52-54 (March 2011): 127–32. http://dx.doi.org/10.4028/www.scientific.net/amm.52-54.127.

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In this paper, some new results are given for the common random solution for a class of random operator equations which generalize several results in [4], [5] and [6] in Banach space. On the other hand, Altman’s inequality is also extending into the type of the determinant form. And comparing some solution for several examples, main results are theorem 2.3, theorem 3.3-3.4, theorem 4.1 and theorem 4.3.

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37

Vishwakarma, Dr Neetu. "Common Random Fixed Point theorem for compatible random multivalued operators." IOSR Journal of Mathematics 3, no. 3 (2012): 39–43. http://dx.doi.org/10.9790/5728-0333943.

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38

Malih, Sabah Hassan. "Random Fixed Point on Ishikawa Random Iteration Under Fibonacci Sequence." Journal of Physics: Conference Series 1879, no. 3 (2021): 032044. http://dx.doi.org/10.1088/1742-6596/1879/3/032044.

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39

Hukushima, Koji. "Random Fixed Point of Three-Dimensional Random-Bond Ising Models." Journal of the Physical Society of Japan 69, no. 3 (2000): 631–34. http://dx.doi.org/10.1143/jpsj.69.631.

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40

Li, Guozhen, and Yuching Chen. "ON RANDOM TOPOLOGICAL DEGREE AND SOME RANDOM FIXED POINT THEOREMS." Acta Mathematica Scientia 13, no. 4 (1993): 391–98. http://dx.doi.org/10.1016/s0252-9602(18)30073-0.

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41

Beg, Ismat, and Naseer Shahzad. "Random fixed points of random multivalued operators on polish spaces." Nonlinear Analysis: Theory, Methods & Applications 20, no. 7 (1993): 835–47. http://dx.doi.org/10.1016/0362-546x(93)90072-z.

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42

Beg, Ismat, and Naseer Shahzad. "Random fixed points and approximations in random convex metric spaces." Journal of Applied Mathematics and Stochastic Analysis 6, no. 3 (1993): 237–46. http://dx.doi.org/10.1155/s104895339300019x.

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43

Beg, Ismat. "Random fixed points of non-self maps and random approximations." Journal of Applied Mathematics and Stochastic Analysis 10, no. 2 (1997): 127–30. http://dx.doi.org/10.1155/s1048953397000154.

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In this paper we prove random fixed point theorems in reflexive Banach spaces for nonexpansive random operators satisfying inward or Leray-Schauder condition and establish a random approximation theorem.

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44

Agarwal, Ravi P., Donal O'Regan, and M. Sambandham. "RANDOM FIXED POINT THEORY FOR MULTIVALUED COUNTABLY CONDENSING RANDOM OPERATORS." Stochastic Analysis and Applications 20, no. 6 (2002): 1157–68. http://dx.doi.org/10.1081/sap-120015827.

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45

Thang, Dang Hung, and Pham The Anh. "Some Results on Random Fixed Points of Completely Random Operators." Vietnam Journal of Mathematics 42, no. 2 (2013): 133–40. http://dx.doi.org/10.1007/s10013-013-0037-z.

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46

Schmalfuss, Björn. "A Random Fixed Point Theorem and the Random Graph Transformation." Journal of Mathematical Analysis and Applications 225, no. 1 (1998): 91–113. http://dx.doi.org/10.1006/jmaa.1998.6008.

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47

YİLDİRİM, İsa, and Muhammed Emin BATUHAN. "Random fixed point results for generalized asymptotically nonexpansive random operators." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 72, no. 3 (2023): 570–86. http://dx.doi.org/10.31801/cfsuasmas.1211661.

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In this paper, we define an implicit random iterative process with errors for three finite families of generalized asymptotically nonexpansive random operators. We also prove some convergence theorems using this iteration method in separable Banach spaces.

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48

DIAO, YUANAN. "UNSPLITTABILITY OF RANDOM LINKS." Journal of Knot Theory and Its Ramifications 03, no. 03 (1994): 379–89. http://dx.doi.org/10.1142/s0218216594000277.

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Random linking problems arise in physical situations when there is more than one circular molecule present in a fixed volume, and linking of these molecules becomes possible. Mathematically, this is the linking problem for two or more randomly generated polygons. In this paper, we study the asymptotic case when the number of random polygons of fixed length in a fixed volume tends to infinity, and prove that under certain conditions that the probability that these random polygons form an unsplittable link tends to one.

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49

Park, Choonkil, Madjid Eshaghi Gordji, and Reza Saadati. "Random homomorphisms and random derivations in random normed algebras via fixed point method." Journal of Inequalities and Applications 2012, no. 1 (2012): 194. http://dx.doi.org/10.1186/1029-242x-2012-194.

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50

Wang, L. "Random approximation and random fixed point theorem for nonexpansive random non-self mapping." Journal of Physics: Conference Series 96 (February 1, 2008): 012062. http://dx.doi.org/10.1088/1742-6596/96/1/012062.

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