Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces

被引：3

作者：

Chuadchawna, Preeyalak ^{[1
]}

Farajzadeh, Ali ^{[2
]}

Kaewcharoen, Anchalee ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah, Iran

来源：

JOURNAL OF APPLIED ANALYSIS | 2021年 / 27卷 / 01期

关键词：

Total asymptotically nonexpansive single-valued mappings; quasi nonexpansive multi-valued mappings; Delta-convergences; uniformly convex hyperbolic spaces; condition (E);

D O I：

10.1515/jaa-2020-2038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the Delta-convergence and strong convergence for the iterative sequence generated by the proposed scheme to approximate a common fixed point of a total asymptotically nonexpansive single-valued mapping and a quasi nonexpansive multi-valued mapping in a complete uniformly convex hyperbolic space. Finally, by giving an example, we illustrate our result.

引用

页码：129 / 142

页数：14

共 50 条

[21] Convergence of the S-Iteration Process for a Pair of Single-valued and Multi-valued Generalized Nonexpansive Mappings in CAT(kappa) Spaces
Sopha, Sirichai
Phuengrattana, Withun
THAI JOURNAL OF MATHEMATICS, 2015, 13 (03): : 627 - 640
[22] Strong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-φ-asymptotically nonexpansive mappings with applications
Chang, Shih-Sen
Wang, Lin
Tang, Yong-Kun
Zhao, Yun-He
Ma, Zao-Li
FIXED POINT THEORY AND APPLICATIONS, 2012,
[23] Strong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-ϕ-asymptotically nonexpansive mappings with applications
Shih-Sen Chang
Lin Wang
Yong-Kun Tang
Yun-He Zhao
Zao-Li Ma
Fixed Point Theory and Applications, 2012
[24] Existence and weak convergence of the fixed point in the multi-valued asymptotically nonexpansive mappings
Fu, Hongzhuo
Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), 1998, 26 (06): : 116 - 120
[25] Strong convergence theorems of a finite family of quasi-nonexpansive and Lipschitz multi-valued mappings
Suantai S.
Cholamjiak W.
Cholamjiak P.
Afrika Matematika, 2015, 26 (3-4) : 345 - 355
[26] Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces
Ali B.
Fixed Point Theory and Applications, 2016 (1)
[27] Proximal Point Algorithms for a Hybrid Pair of Nonexpansive Single-Valued and Multi-Valued Mappings in Geodesic Metric Spaces
Suantai, Suthep
Phuengrattana, Withun
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
[28] Proximal Point Algorithms for a Hybrid Pair of Nonexpansive Single-Valued and Multi-Valued Mappings in Geodesic Metric Spaces
Suthep Suantai
Withun Phuengrattana
Mediterranean Journal of Mathematics, 2017, 14
[29] MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES
张石生
王林
赵云河
ActaMathematicaScientia, 2013, 33 (02) : 589 - 599
[30] MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES
Zhang, Shisheng
Wang, Lin
Zhao, Yunhe
ACTA MATHEMATICA SCIENTIA, 2013, 33 (02) : 589 - 599

← 1 2 3 4 5 →