APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：0

作者：

Aleyner, Arkady ^{[1
]}

Reich, Simeon ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

FIXED POINT THEORY | 2009年 / 10卷 / 01期

基金：

以色列科学基金会;

关键词：

Common fixed point; iteration process; nonexpansive mapping; CONVEX FEASIBILITY PROBLEMS; STRONG-CONVERGENCE THEOREMS; WEAK CONVERGENCE; OPTIMIZATION; CONTRACTIONS; PROJECTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two algorithmic frameworks for finding a common fixed point of a finite collection of nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces, respectively, are proposed. Corresponding weak and strong convergence theorems are established.

引用

页码：3 / 17

页数：15

共 50 条

[31] NONEXPANSIVE MAPPINGS AND FIXED-POINTS IN BANACH SPACES
BELLUCE, LP
KIRK, WA
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1967, 11 (03) : 474 - &
[32] Fixed points of multivalued nonexpansive mappings in Banach spaces
Khan, Safeer Hussain
Yildirim, Isa
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 9
[33] Iterative algorithm to common fixed points of infinite nonexpansive mappings in Banach spaces
Li, Wei
Duan, Li-Ling
[J]. PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 2309 - 2313
[34] Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces
Pasom, P.
Panyanak, B.
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[35] Common fixed points of G-nonexpansive mappings on Banach spaces with a graph
Tripak O.
[J]. Fixed Point Theory and Applications, 2016 (1)
[36] Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
Fukhar-ud-din, Hafiz
Khan, Abdul Rahim
Hussain, Nawab
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 771 - 779
[37] Approximating Fixed Points of Enriched Nonexpansive Mappings in Geodesic Spaces
Shukla, Rahul
Panicker, Rekha
[J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
[38] Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces
Fukhar-ud-din, Hafiz
Khan, Abdul Rahim
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (09) : 1349 - 1360
[39] Approximating fixed points of generalized -nonexpansive mappings in Banach spaces by new faster iteration process
Piri, H.
Daraby, B.
Rahrovi, S.
Ghasemi, M.
[J]. NUMERICAL ALGORITHMS, 2019, 81 (03) : 1129 - 1148
[40] Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces
Simsek, E.
Yildirim, I
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2022, 14 (01) : 86 - 94

← 1 2 3 4 5 →