Random fixed point results for generalized asymptotically nonexpansive random operators-Reference-Cited by-同舟云学术

Random fixed point results for generalized asymptotically nonexpansive random operators

Published:2023-03-25 Issue:3 Volume:72 Page:570-586
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

YİLDİRİM İsa¹^ORCID,BATUHAN Muhammed Emin¹^ORCID

Affiliation:

1. ATATURK UNIVERSITY

Abstract

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.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

Reference19 articles.

1. Banerjee, S., Choudhury, B. S., Composite implicit random iterations for approximating common random fixed point for a finite family of asymptotically nonexpansive random operators, Communications of the Korean Mathematical Society, 26(1) (2011), 23-35. https://doi.org/10.4134/CKMS.2011.26.1.023

2. Beg, I., Abbas, M., Iterative procedures for solutions of random operator equations in Banach spaces, J. Math. Anal. Appl., 315(1) (2006), 181-201. https://doi.org/10.1016/j.jmaa.2005.05.073

3. Beg, I., Shahzad, N., Random fixed point theorems for nonexpansive and contractive type random operators on Banach spaces, J. Appl. Math. Stochastic Anal., 7(4) (1994), 569-580. https://doi.org/10.1155/S1048953394000444

4. Choudhury, B. S., A common unique fixed point theorem for two random operators in Hilbert spaces, International Journal of Mathematics and Mathematical Sciences, 32(3) (2002), 177-182. https://doi.org/10.1155/S0161171202005616

5. Choudhury, B. S., A random fixed point iteration For three random operators on uniformly convex Banach spaces, Analysis in Theory and Application 19(2) (2003), 99-107. https://doi.org/10.1007/BF02835233