Strong convergence theorems of a finite family of quasi-nonexpansive and Lipschitz multi-valued mappings

被引：8

作者：

Suantai S. ^{[1
]}

Cholamjiak W. ^{[2
]}

Cholamjiak P. ^{[2
]}

机构：

[1] Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai

[2] School of Science, University of Phayao, Phayao

来源：

Afrika Matematika | 2015年 / 26卷 / 3-4期

关键词：

Common fixed point; Projection method; Quasi-nonexpansive multi-valued mapping; Strong convergence;

D O I：

10.1007/s13370-013-0210-2

中图分类号：

学科分类号：

摘要：

In this paper, we study a mapping generated by a finite family of quasi-nonexpansive and Lipschitz multi-valued mappings. We also introduce a hybrid algorithm for finding common fixed points of such mappings and prove a strong convergence theorem. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：345 / 355

页数：10

共 50 条

[1] Strong Convergence Theorems for a Countable Family of Multi-Valued Bregman Quasi-Nonexpansive Mappings in Reflexive Banach Spaces
Chang, S. S.
Wang, X. R.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (05) : 575 - 589
[2] ON CONVERGENCE OF A MULTI-STEP ITERATION PROCESS WITH ERRORS FOR A FINITE FAMILY OF QUASI-NONEXPANSIVE MULTI-VALUED MAPPINGS
Yildirim, Isa
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (02): : 61 - 74
[3] Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
Cholamjiak, Watcharaporn
Suantai, Suthep
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (07) : 1917 - 1923
[4] Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi- nonexpansive Mappings in Banach spaces
Saluja, Gurucharan Singh
[J]. MATEMATIKA, 2011, 27 (02): : 129 - 138
[5] Strong convergence theorems for generalized asymptotically quasi-nonexpansive mappings
Zhao J.
He S.
Liu G.
[J]. Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 53 - 64
[6] Weak and Strong Convergence Theorems for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Nonself-Mappings
Yatakoat, P.
Suantai, S.
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (01): : 9 - 16
[7] Strong convergence theorems for total quasi-ϕ-asymptotically nonexpansive multi-valued mappings in Banach spaces
Jinfang Tang
Shih-sen Chang
[J]. Fixed Point Theory and Applications, 2012
[8] ON APPROXIMATION OF FIXED POINTS OF MULTI-VALUED QUASI-NONEXPANSIVE MAPPINGS
Isiogugu, Felicia Obiageli
Pillay, Paranjothi
Osilike, Micah Okwuchukwu
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (07) : 1303 - 1310
[9] CONVERGENCE THEOREMS OF A FAMILY OF UNIFORMLY (L, alpha)- LIPSCHITZ ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS
Saluja, Gurucharan Singh
[J]. DEMONSTRATIO MATHEMATICA, 2010, 43 (04) : 877 - 886
[10] STRONG CONVERGENCE THEOREMS OF COMMON FIXED POINTS FOR A PAIR OF QUASI-NONEXPANSIVE AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
Saluja, Gurucharan Singh
[J]. MATEMATICKI VESNIK, 2010, 62 (02): : 137 - 144

← 1 2 3 4 5 →