Modified Hybrid Algorithm for a Family of Quasi-φ-Asymptotically Nonexpansive Mappings

被引：3

作者：

Xu, Yongchun ^{[1
]}

Zhang, Xin ^{[2
]}

Kang, Jinlong ^{[2
]}

Su, Yongfu ^{[2
]}

机构：

[1] Hebei North Univ, Dept Math, Zhangjiakou 075000, Peoples R China

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

STRONG-CONVERGENCE; FIXED-POINTS; ITERATIONS; THEOREM;

D O I：

10.1155/2010/170701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi-phi-asymptotically nonexpansive mappings. The method of the proof is different from the original one. Our results improve and extend the corresponding results announced by Zhou et al. (2010), Kimura and Takahashi (2009), and some others.

引用

页数：15

共 50 条

[31] Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
Ugwunnadi, Godwin Chidi
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2016, 7 (02): : 93 - 108
[32] Projection algorithms for treating asymptotically quasi-φ-nonexpansive mappings in the intermediate sense
Yuan Hecai
Liu Aichao
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[33] Convergence of a modified Halpern-type iteration algorithm for quasi-φ-nonexpansive mappings
Qin, Xiaolong
Cho, Yeol Je
Kang, Shin Min
Zhou, Haiyun
APPLIED MATHEMATICS LETTERS, 2009, 22 (07) : 1051 - 1055
[34] Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
Yuan Hecai
Liu Aichao
Journal of Inequalities and Applications, 2013
[35] NOTE ON QUASI- NONEXPANSIVE MAPPINGS
SINGH, BP
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (06): : A632 - A632
[36] STRONG CONVERGENCE THEOREM OF A HYBRID PROJECTION ALGORITHM FOR A FAMILY OF QUASI-phi-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Tang, J. F.
Chang, S. S.
Liu, M.
Liu, J. A.
OPUSCULA MATHEMATICA, 2010, 30 (03) : 341 - 348
[37] On a Hybrid Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of a Family of Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces
Liu, Min
Chang, Shih-sen
Zuo, Ping
FIXED POINT THEORY AND APPLICATIONS, 2010,
[38] STRONG CONVERGENCE THEOREM FOR INFINITE FAMILY OF TOTAL QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MULTI-VALUED MAPPINGS
Ali, Bashir
Ugwunnadi, G. C.
FIXED POINT THEORY, 2014, 15 (02): : 337 - 350
[39] Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space
Saewan, Siwaporn
FIXED POINT THEORY AND APPLICATIONS, 2013,
[40] Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
Jae Ug Jeong
Fixed Point Theory and Applications, 2014

← 1 2 3 4 5 →