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
收藏
页码：13 / 23
页数：11
相关论文
共 50 条
  • [21] Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
    Naseer Shahzad
    Aniefiok Udomene
    Fixed Point Theory and Applications, 2006
  • [22] Iterative scheme for nonself generalized asymptotically quasi-nonexpansive mappings
    Deng, Lei
    Liu, Qifei
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) : 317 - 324
  • [23] COMMON FIXED POINTS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Chandok, Sumit
    Narang, T. D.
    TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (01): : 23 - 29
  • [24] Fixed points of nonexpansive and quasi-nonexpansive mappings
    M. Sankara Narayanan
    M. Marudai
    The Journal of Analysis, 2019, 27 : 75 - 87
  • [25] Fixed points of nonexpansive and quasi-nonexpansive mappings
    Narayanan, M. Sankara
    Marudai, M.
    JOURNAL OF ANALYSIS, 2019, 27 (01): : 75 - 87
  • [26] MODIFIED THREE STEP ITERATIVE PROCESS WITH ERRORS FOR COMMON FIXED POINT OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
    Temir, Seyit
    Kiziltunc, Hukmi
    TAMKANG JOURNAL OF MATHEMATICS, 2012, 43 (04): : 577 - 586
  • [27] Approximating common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings
    Cholamjiak, W.
    Suantai, S.
    THAI JOURNAL OF MATHEMATICS, 2008, 6 (02): : 315 - 322
  • [28] Convergence Theorems of Implicit Iterates with Errors for Generalized Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces
    Saluja, G. S.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2013, 4 (01): : 21 - 34
  • [29] On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
    Xiaolong Qin
    ShinMin Kang
    RaviP Agarwal
    Fixed Point Theory and Applications, 2010
  • [30] On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
    Qin, Xiaolong
    Kang, Shin Min
    Agarwal, Ravi P.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
12345