MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES

被引：0

作者：

张石生 ^{[1
]}

王林 ^{[1
]}

赵云河 ^{[1
]}

机构：

[1] College of Statistics and Mathematics,Yunnan University of Finance and Economics

来源：

ActaMathematicaScientia | 2013年 / 33卷 / 02期

关键词：

Multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups; modified Halpern-Mann-type iteration; multi-valued quasi-φ-symptotically nonex-pansive semi-groups; multi-valued quasi-φ-nonexpansive semi-groups; multivalued relatively nonexpansive semi-groups; generalized projection;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

The purpose of this article is first to introduce the concept of multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semigroups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently.

引用

页码：589 / 599

页数：11

共 50 条

[21] Strong convergence theorems for a countable family of totally quasi-φ-asymptotically nonexpansive nonself mappings in Banach spaces with applications
Yi, Li
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[22] Strong convergence theorems for a countable family of totally quasi-ϕ-asymptotically nonexpansive nonself mappings in Banach spaces with applications
Li Yi
Journal of Inequalities and Applications, 2012
[23] Strong convergence theorems for equilibrium problems and quasi-φ-asymptotically nonexpansive mappings in Banach spaces
Zhao, Jing
He, Songnian
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2011, 19 (01): : 347 - 364
[24] Strong Convergence Theorems for Two Total Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces
He, Xi-bing
Hui, Xiao-jian
Xing, Hui
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[25] Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi- nonexpansive Mappings in Banach spaces
Saluja, Gurucharan Singh
MATEMATIKA, 2011, 27 (02) : 129 - 138
[26] Strong convergence for total quasi-φ-asymptotically nonexpansive semigroups in Banach spaces
Quan, Jing
Chang, Shih-sen
Wang, Xiongrui
FIXED POINT THEORY AND APPLICATIONS, 2012,
[27] Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces
Jing Quan
Shih-sen Chang
Xiongrui Wang
Fixed Point Theory and Applications, 2012
[28] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
Simin Homaeipour
Abdolrahman Razani
Fixed Point Theory and Applications, 2011
[29] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
Homaeipour, Simin
Razani, Abdolrahman
FIXED POINT THEORY AND APPLICATIONS, 2011,
[30] STRONG CONVERGENCE THEOREM FOR INFINITE FAMILY OF TOTAL QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MULTI-VALUED MAPPINGS
Ali, Bashir
Ugwunnadi, G. C.
FIXED POINT THEORY, 2014, 15 (02): : 337 - 350

← 1 2 3 4 5 →