STRONG CONVERGENCE THEOREM FOR FINITE FAMILY OF m-ACCRETIVE OPERATORS IN BANACH SPACES

被引：0

作者：

Gurudwan, N. ^{[1
]}

Sharma, B. K. ^{[1
]}

机构：

[1] Pt Ravishanker Shukla Univ, Sch Studies Math, Raipur 492010, Chhattisgarh, India

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2013年 / 39卷 / 04期

关键词：

m-accretive operators; strictly convex Banach space; uniformly Gateaux differentiable norm; composite iteration; resolvent; NONLINEAR MAPPINGS; MONOTONE-OPERATORS; FIXED-POINTS; APPROXIMATION; ZEROS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to propose a composite iterative scheme for approximating a common solution for a finite family of m-accretive operators in a strictly convex Banach space having a uniformly Gateaux differentiable norm. As a consequence, the strong convergence of the scheme for a common fixed point of a finite family of pseudocontractive mappings is also obtained.

引用

页码：765 / 777

页数：13

共 50 条

[1] CONVERGENCE THEOREMS OF ZEROS OF A FINITE FAMILY OF m-ACCRETIVE OPERATORS IN BANACH SPACES
Hao, Yan
Cho, Sun Young
GLASNIK MATEMATICKI, 2010, 45 (02) : 513 - 523
[2] Strong convergence of composite iterative schemes for zeros of m-accretive operators in Banach spaces
Ceng, L. -C.
Khan, A. R.
Ansari, Q. H.
Yao, J. -C.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 1830 - 1840
[3] On perturbations of M-accretive operators in Banach spaces
Hirano, N
Kalinde, AK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (04) : 1183 - 1190
[4] Path Convergence and Approximation of Common Zeroes of a Finite Family of m-Accretive Mappings in Banach Spaces
Shehu, Yekini
Ezeora, Jerry N.
ABSTRACT AND APPLIED ANALYSIS, 2010,
[5] Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces
Yanlai Song
Luchuan Ceng
Fixed Point Theory and Applications, 2015
[6] A strong and weak convergence theorem for resolvents of accretive operators in banach spaces
Iemoto, Shigeru
Takahashi, Wataru
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03): : 915 - 928
[7] Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces
Song, Yanlai
Ceng, Luchuan
FIXED POINT THEORY AND APPLICATIONS, 2015,
[8] ZEROS OF M-ACCRETIVE OPERATORS IN BANACH-SPACES
KIRK, WA
SCHONEBERG, R
ISRAEL JOURNAL OF MATHEMATICS, 1980, 35 (1-2) : 1 - 8
[9] Compact perturbations of m-accretive operators in Banach spaces
Morales, CH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (02) : 365 - 370
[10] Existence theorems for m-accretive operators in Banach spaces
García-Falset, J
Morales, CH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 453 - 461

← 1 2 3 4 5 →