Convergence of Modified S-Iteration to Common Fixed Points of Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

被引：0

作者：

Jayashree, S. Jone ^{[1
]}

Eldred, A. Anthony ^{[2
]}

机构：

[1] Bharathidasan Univ, Holy Cross Coll, Dept Math, Tiruchirappalli 620002, Tamilnadu, India

[2] Bharathidasan Univ, St Josephs Coll Autonomous, Dept Math, Tiruchirappalli 620002, Tamilnadu, India

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

asymptotically nonexpansive mapping; common fixed points; Delta-convergence; hyperbolic space; WEAK-CONVERGENCE;

D O I：

10.28924/2291-8639-22-2024-28

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide some sufficient conditions for the strong convergence of an improved form of modified S -iteration for approximating common fixed points of two asymptotically nonexpansive mappings defined on a closed convex subset of a uniformly convex hyperbolic spaces.

引用

页数：9

共 50 条

[1] On strong and Δ-convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in CAT(κ) spaces
Saipara, Plern
Chaipunya, Parin
Cho, Yeol Je
Kumam, Poom
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 965 - 975
[2] A Class of New General Iteration Approximation of Common Fixed Points for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces
Xiong, Ting-jian
Lan, Heng-you
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (06) : 1120 - 1136
[3] Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
Poom Kumam
Gurucharan S Saluja
Hemant K Nashine
[J]. Journal of Inequalities and Applications, 2014
[4] Strong and ?-Convergence of a New Iteration for Common Fixed Points of Two Asymptotically Nonexpansive Mappings
Dhiliban, J. Robert
Eldred, A. Anthony
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[5] Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
Kumam, Poom
Saluja, Gurucharan S.
Nashine, Hemant K.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[6] On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a space
Sahin, Aynur
Basarir, Metin
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[7] CONVERGENCE OF MODIFIED S-ITERATION PROCESS FOR TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CAT(0) SPACES
Saluja, G. S.
[J]. DEMONSTRATIO MATHEMATICA, 2016, 49 (01) : 107 - 118
[8] Approximating fixed points of generalized nonexpansive mappings in CAT(k) spaces via modified S-iteration process
Sharma A.
Bahuguna D.
Imdad M.
[J]. The Journal of Analysis, 2017, 25 (2) : 187 - 202
[9] ON AN ITERATION PROCESS FOR COMMON FIXED POINTS OF NONSELF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Khan, Safeer Hussain
Kiziltunc, Hukmi
Purtas, Yunus
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (01): : 235 - 248
[10] Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings
Fang Zhang
Yongfu Su
[J]. Fixed Point Theory and Applications, 2007

← 1 2 3 4 5 →