Strong Convergence of a Modified Ishikawa Iterative Sequence for Asymptotically Quasi-Pseudo-Contractive-Type Mappings

被引：1

作者：

Li, Liuhong ^{[1
]}

Wang, Yuanheng ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Xingzhi Coll, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

基金：

中国国家自然科学基金;

关键词：

NONEXPANSIVE-MAPPINGS; OPERATORS;

D O I：

10.1155/2014/981494

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 investigate the strong convergence problem of a modified mixed Ishikawa iterative sequence with errors for approximating the fixed points of an asymptotically nonexpansive mapping in the intermediate sense and an asymptotically quasi-pseudo-contractive-type mapping in an arbitrary real Banach space. The results here improve and extend the corresponding results reported by some other authors recently.

引用

页数：6

共 15 条

[1]

Bruck R., 1993, Colloquium Mathematicum, V65, P169, DOI [10.4064/cm-65-2-169-179, DOI 10.4064/CM-65-2-169-179]

[2] Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces [J].

Ceng, Lu-Chuan ;

Wen, Ching-Feng .

JOURNAL OF APPLIED MATHEMATICS, 2013,

[3] Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems [J].

Ceng, Lu-Chuan ;

Xu, Hong-Kun ;

Wen, Ching-Feng .

JOURNAL OF APPLIED MATHEMATICS, 2013,

[4] Hybrid Method with Perturbation for Lipschitzian Pseudocontractions [J].

Ceng, Lu-Chuan ;

Wen, Ching-Feng .

JOURNAL OF APPLIED MATHEMATICS, 2012,

[5] Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings [J].

Chang, SS .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (03) :845-853

[6] FIXED-POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS [J].

GOEBEL, K ;

KIRK, WA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (01) :171-&

[7] Iterative solution of nonlinear equations involving set-valued uniformly accretive operators [J].

Moore, C ;

Nnoli, BVC .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (1-2) :131-140

[8] ITERATIVE CONSTRUCTION OF FIXED-POINTS OF ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS [J].

SCHU, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (02) :407-413

[9] Strong Convergence Theorems for Asymptotically Weak G-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces [J].

Wang, Yuanheng .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[10] New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators [J].

Wei Li ;

Su Yong-fu ;

Zhou Hai-yun .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (02) :199-208

← 1 2 →