Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

被引：0

作者：

Saluja, G. S. ^{[1
]}

机构：

[1] Govt Nagarjuna PG Coll Sci, Dept Math & Informat Technol, Raipur 492010, CG, India

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2014年 / 43卷 / 02期

关键词：

Generalized asymptotically quasi-nonexpansive mapping; multi-step iterations with errors; common fixed point; strong convergence; convex metric; BANACH-SPACES; ERROR MEMBER; SEQUENCES; ISHIKAWA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.

引用

页码：209 / 225

页数：17

共 50 条

[1] Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces
Yildirim, Isa
Khan, Safeer Hussain
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 4860 - 4866
[2] CONVERGENCE OF AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES
Saluja, Gurucharan Singh
Nashine, Hemant Kumar
OPUSCULA MATHEMATICA, 2010, 30 (03) : 331 - 340
[3] Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings
Khan, Muhammad Aqeel Ahmad
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4] STRONG CONVERGENCE OF AN EXPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES
Gunduz, Birol
Akbulut, Sezgin
MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 905 - 913
[5] Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings
Muhammad Aqeel Ahmad Khan
Journal of Inequalities and Applications, 2013
[6] AN IMPLICIT ITERATION SCHEME WITH ERRORS FOR COMMON FIXED POINTS OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
Saluja, Gurucharan Singh
Nashine, Hemant Kumar
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (01): : 13 - 23
[7] CONVERGENCE THEOREMS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACES
Saluja, G. S.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 4 (01): : 45 - 57
[8] STRONG CONVERGENCE THEOREMS OF COMMON FIXED POINTS FOR A PAIR OF QUASI-NONEXPANSIVE AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
Saluja, Gurucharan Singh
MATEMATICKI VESNIK, 2010, 62 (02): : 137 - 144
[9] Iteration sequences with errors for asymptotically quasi-nonexpansive type mappings in convex metric spaces
Chang, S. S.
Kim, J. K.
Wu, D. P.
FIXED POINT THEORY AND APPLICATIONS, VOL 6, 2007, 6 : 17 - +
[10] CONVERGENCE THEOREMS OF MULTI-STEP ITERATIVE ALGORITHM WITH ERRORS FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Saluja, Gurucharan Singh
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2011, 2 (01): : 85 - 96

← 1 2 3 4 5 →