AN IMPLICIT ITERATION SCHEME WITH ERRORS FOR COMMON FIXED POINTS OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

被引：0

作者：

Saluja, Gurucharan Singh ^{[1
]}

Nashine, Hemant Kumar ^{[2
]}

机构：

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

[2] Disha Inst Management & Technol, Dept Math, Raipur, Chhattisgarh, India

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 4卷 / 01期

关键词：

Generalized asymptotically quasi-nonexpansive mapping; implicit iteration scheme with bounded errors; common fixed point; Banach space;

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 an implicit iteration scheme with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings and give the necessary and sufficient condition to converge to common fixed points for the said scheme in Banach spaces. The results presented in this paper generalize, improve and unify the corresponding results in [3, 4, 7, 9, 11, 12, 13, 15, 16, 17, 18].

引用

页码：13 / 23

页数：11

共 50 条

[41] Iteration scheme for a pair of simultaneously asymptotically quasi-nonexpansive type mappings in Banach spaces
Li, Jun
Kim, Jong Kyu
Huang, Nan Jing
TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (06): : 1419 - 1429
[42] Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
Zeqing Liu
Jeong Sheok Ume
Shin Min Kang
Fixed Point Theory and Applications, 2009
[43] AN ITERATION PROCESS FOR COMMON FIXED POINTS OF TWO NONSELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Khan, Safeer Hussain
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (03): : 165 - 176
[44] An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings
Akbulut, Sezgin
Khan, Safeer Hussain
Ozdemir, Murat
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 15 - 30
[45] Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
Liu, Zeqing
Ume, Jeong Sheok
Kang, Shin Min
FIXED POINT THEORY AND APPLICATIONS, 2009,
[46] Weak and Strong Convergence of an Implicit Iteration Process for a Finite Family of Asymptotically Quasi-Nonexpansive Mappings
Thianwan, S.
THAI JOURNAL OF MATHEMATICS, 2010, 8 (04): : 105 - 119
[47] Explicit Iteration Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Nonexpansive Nonself Mappings
Tripak, Orawan
Kongsiriwong, Sarachai
THAI JOURNAL OF MATHEMATICS, 2011, 9 (03): : 521 - 530
[48] An Implicit Iteration Process for Common Fixed Points of Two Infinite Families of Asymptotically Nonexpansive Mappings in Banach Spaces
Deng, Wei-Qi
Bai, Peng
JOURNAL OF APPLIED MATHEMATICS, 2013,
[49] A new iterative process for approximating common fixed points of nonself I-asymptotically quasi-nonexpansive mappings
Isa Yildirim
Applied Mathematics:A Journal of Chinese Universities, 2012, (04) : 489 - 502
[50] A new iterative process for approximating common fixed points of nonself I-asymptotically quasi-nonexpansive mappings
Isa Yildirim
Feng Gu
Applied Mathematics-A Journal of Chinese Universities, 2012, 27 : 489 - 502

← 1 2 3 4 5 →