Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces

被引：1

作者：

Wu, Huan-chun ^{[1
]}

Cheng, Cao-zong ^{[1
]}

Qu, De-ning ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

quasi-nonexpansive mapping; maximal monotone operator; variational inequality; FIXED-POINT; HALPERNS TYPE; WEAK;

D O I：

10.1186/1029-242X-2014-318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the strong convergence theorem for the iterative scheme for finding a common element of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators in Hilbert spaces. Our results extend and improve the recent results of Takahashi et al. (J. Optim. Theory Appl. 147: 27-41, 2010) and Takahashi and Takahashi (Nonlinear Anal. 69: 1025-1033, 2008).

引用

页数：12

共 50 条

[21] Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces
Saejung, Satit
Wongchan, Kanokwan
ABSTRACT AND APPLIED ANALYSIS, 2013,
[22] A STRONG CONVERGENCE THEOREM FOR FINITE FAMILIES OF BREGMAN QUASI-NONEXPANSIVE AND MONOTONE MAPPINGS IN BANACH SPACES
Ekuma-Okereke, Enyinnaya
Oladipo, Abiodun Tinuoye
FIXED POINT THEORY, 2020, 21 (01): : 167 - 180
[23] Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings
WEI Li1 SU Yong-fu2 ZHOU Hai-yun31 School of Math.and Statist.
Applied Mathematics:A Journal of Chinese Universities, 2008, (03) : 319 - 325
[24] Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings
Li Wei
Yong-fu Su
Hai-yun Zhou
Applied Mathematics-A Journal of Chinese Universities, 2008, 23 : 319 - 325
[25] Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces
Deng, Lei
Xiao, Juan
ABSTRACT AND APPLIED ANALYSIS, 2014,
[26] CONVERGENCE THEOREMS FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Saluja, G. S.
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2014,
[27] Strong convergence theorems for maximal monotone mappings in Banach spaces
Zegeye, Habtu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (02) : 663 - 671
[28] Weak and Strong Convergence Theorems for Zero Points of Inverse Strongly Monotone Mapping and Fixed Points of Quasi-nonexpansive Mappings in Hilbert Space
Tongnoi, Buris
Suantai, Suthep
THAI JOURNAL OF MATHEMATICS, 2019, 17 (02): : 305 - 319
[29] Strong Convergence Theorems for Maximal and Inverse-Strongly Monotone Mappings in Hilbert Spaces and Applications
W. Takahashi
Journal of Optimization Theory and Applications, 2013, 157 : 781 - 802
[30] Strong Convergence Theorems for Maximal and Inverse-Strongly Monotone Mappings in Hilbert Spaces and Applications
Takahashi, W.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 157 (03) : 781 - 802

← 1 2 3 4 5 →