On problem of nearest common fixed point of nonexpansive mappings

被引：0

作者：

Zhang Shi-sheng ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 07期

关键词：

sequence of nonexpansive mappings; viscosity approximation; common fixed point; demi-closed principle; weakly sequentially continuous duality mapping; normalized duality mapping;

D O I：

10.1007/s10483-006-0703-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.

引用

页码：883 / 889

页数：7

共 50 条

[31] The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces
Zhang, Xin-Fang
Wang, Lin
Ma, Zhao Li
Qin, Li Juan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[32] A Common Minimum-norm Solution of a Generalized Equilibrium Problem and a Fixed Point Problem for a Countable Family of Nonexpansive Mappings
Inprasit, U.
Nilsrakoo, W.
Wattanataweekul, M.
[J]. THAI JOURNAL OF MATHEMATICS, 2014, 12 (02): : 397 - 430
[33] COMMON FIXED POINT THEOREMS FOR MULTIVALUED GENERALIZED (a,β)-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Wiriyapongsanon, Atit
Inthakon, Warunun
Phudolsitthiphat, Narawadee
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (11) : 2513 - 2529
[34] A common fixed point theorem for a commuting family of weak* continuous nonexpansive mappings
Borzdynski, Slawomir
Wisnicki, Andrzej
[J]. STUDIA MATHEMATICA, 2014, 225 (02) : 173 - 181
[35] Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
Chidume, C. E.
Zegeye, Habtu
Shahzad, Naseer
[J]. FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (02) : 233 - 241
[36] Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings
Zegeye, Habtu
Shahzad, Naseer
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) : 155 - 163
[37] Fixed point property for nonexpansive mappings versus that for nonexpansive semigroups
Suzuki, Tomonari
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3358 - 3361
[38] Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces
Saluja, G. S.
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 6 (01): : 89 - 96
[39] COMMON FIXED-POINT THEOREM FOR COMMUTING NONEXPANSIVE MAPPINGS - PRELIMINARY REPORT
KIM, MW
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A648 - &
[40] The common minimal-norm fixed point of a finite family of nonexpansive mappings
Liu, Xia
Cui, Yanlan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (01) : 76 - 83

← 1 2 3 4 5 →