A Strong convergence theorem for the equilibrium problem and a relatively nonexpansive mapping in a Banach space

被引：0

作者：

Yang Xue ^{[1
]}

Su Yong-Fu ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

ICIC 2009: SECOND INTERNATIONAL CONFERENCE ON INFORMATION AND COMPUTING SCIENCE, VOL 3, PROCEEDINGS: APPLIED MATHEMATICS, SYSTEM MODELLING AND CONTROL | 2009年

关键词：

a Banach space; an equilibrium problem; a relatively nonexpansive mapping;

D O I：

10.1109/ICIC.2009.286

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The purpose of this paper is to propose a C-Q method for finding a common element of the fixed point of the equilibrium problem and a relatively nonexpansive mapping in a Banach space, then we obtain a strong convergence theorem. The result of this paper improved and extended the results of some others in some respects.

引用

页码：321 / 324

页数：4

共 50 条

[31] A STRONG CONVERGENCE THEOREM FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A STRICTLY CONVEX BANACH SPACE
Abbas, M.
Khan, S. H.
EURASIAN MATHEMATICAL JOURNAL, 2010, 1 (03): : 5 - 10
[32] Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space
Siwaporn Saewan
Fixed Point Theory and Applications, 2013
[33] Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space
Saewan, Siwaporn
FIXED POINT THEORY AND APPLICATIONS, 2013,
[34] Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
Li, Xi
Huang, Nan-jing
O'Regan, Donal
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1322 - 1331
[35] STRONG CONVERGENCE THEOREMS FOR A FAMILY OF RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Aoyama, Koji
Takahashi, Wataru
FIXED POINT THEORY, 2007, 8 (02): : 143 - 160
[36] Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
Matsushita S.-Y.
Takahashi W.
Fixed Point Theory and Applications, 2004 (1) : 37 - 47
[37] Strong Convergence Theorem for Bregman Strongly Nonexpansive Mappings and Equilibrium Problems in Reflexive Banach Spaces
Zhu, Jinhua
Chang, Shih-sen
Liu, Min
JOURNAL OF APPLIED MATHEMATICS, 2013,
[38] A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
Naoki Shioji
Wataru Takahashi
Archiv der Mathematik, 1999, 72 : 354 - 359
[39] A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
Shioji, N
Takahashhi, W
ARCHIV DER MATHEMATIK, 1999, 72 (05) : 354 - 359
[40] STRONG CONVERGENCE OF A MULTI-STEP ITERATIVE PROCESS FOR RELATIVELY QUASI-NONEXPANSIVE MULTIVALUED MAPPINGS AND EQUILIBRIUM PROBLEM IN BANACH SPACES
Eslamian, M.
Abkar, A.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (04): : 117 - 130

← 1 2 3 4 5 →