A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

被引：0

作者：

Suantai, Suthep ^{[1
]}

Phuengrattana, Withun ^{[2
,3
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Dept Math, Nakhon Pathom 73000, Thailand

[3] Nakhon Pathom Rajabhat Univ, Inst Res & Dev, Res Ctr Pure & Appl Math, Nakhon Pathom 73000, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

fixed point; generalized asymptotically nonexpansive mapping; nonexpansive mapping; Banach space; STRONG-CONVERGENCE; FIXED-POINTS; WEAK; THEOREMS; MANN;

D O I：

10.1186/s13663-015-0304-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and strong convergence theorems of the proposed iterative process in Banach spaces. Our main results extend and generalize many results in the literature.

引用

页码：1 / 14

页数：14

共 50 条

[21] Convergence of an iterative method for relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces [J].

S. Homaeipour ;

A. Razani .

Optimization Letters, 2014, 8 :211-225

[22] Enriched multi-valued nonexpansive mappings in geodesic spaces [J].

Salisu, Sani ;

Kumam, Poom ;

Sriwongsa, Songpon ;

Inuwa, Adamu Yusuf .

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (04) :1435-1451

[23] Δ-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces [J].

Chang, Shih-sen ;

Wang, Gang ;

Wang, Lin ;

Tang, Yong Kun ;

Ma, Zhao Li .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 :535-540

[24] A monotone hybrid algorithm for a family of generalized nonexpansive mappings in Banach spaces [J].

Alizadeh, Sattar ;

Moradlou, Fridoun .

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02) :2347-2359

[25] Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application [J].

Li, Yi ;

Liu, Hongbo .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[26] Convergence Theorems for a Hybrid Pair of Generalized Nonexpansive Mappings in Banach Spaces [J].

Uddin, Izhar ;

Imdad, M. ;

Ali, Javid .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) :695-705

[27] Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces [J].

Wang, Yu Wen ;

Zhang, Jian ;

Cui, Yun An .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (03) :637-644

[28] Criteria for the Single-Valued Metric Generalized Inverses of Multi-Valued Linear Operators in Banach Spaces [J].

Yu Wen WANG ;

Jian ZHANG ;

Yun An CUI .

Acta Mathematica Sinica,English Series, 2012, (03) :637-644

[29] Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces [J].

Yu Wen Wang ;

Jian Zhang ;

Yun An Cui .

Acta Mathematica Sinica, English Series, 2012, 28 :637-644

[30] A new iteration scheme for a hybrid pair of generalized nonexpansive mappings [J].

Uddin, Izhar ;

Abdou, Afrah A. N. ;

Imdad, Mohammad .

FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 3 4 5 →