On cyclic relatively nonexpansive mappings in generalized semimetric spaces

被引：0

作者：

Gabeleh, Moosa ^{[1
,2
]}

机构：

[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

APPLIED GENERAL TOPOLOGY | 2015年 / 16卷 / 02期

关键词：

Cyclic relatively nonexpansive mapping; seminormal structure; generalized semimetric space;

D O I：

10.4995/agt.2015.2988

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude a result in uniformly convex Banach spaces. We also discuss on the stability of seminormal structure in generalized semimetric spaces.

引用

页码：99 / 108

页数：10

共 50 条

[11] Generalized equilibrium and fixed point problems for Bregman relatively nonexpansive mappings in Banach spaces
Kaleem Raza Kazmi
Rehan Ali
Saleem Yousuf
Journal of Fixed Point Theory and Applications, 2018, 20
[12] STRONG CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Tomizawa, Yukino
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2013, 14 (02) : 281 - 299
[13] GENERALIZED PROJECTION ALGORITHMS FOR MAXIMAL MONOTONE OPERATORS AND RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Klin-Eam, Chakkrid
Suantai, Suthep
Takahashi, Wataru
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (03): : 1227 - 1246
[14] Proximal pairs and relatively nonexpansive mappings in hyperconvex spaces
Gabeleh, M.
Markin, J.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2025, 27 (01)
[15] Bregman weak relatively nonexpansive mappings in Banach spaces
Naraghirad, Eskandar
Yao, Jen-Chih
FIXED POINT THEORY AND APPLICATIONS, 2013,
[16] Bregman weak relatively nonexpansive mappings in Banach spaces
Eskandar Naraghirad
Jen-Chih Yao
Fixed Point Theory and Applications, 2013
[17] Generalized α-nonexpansive mappings in Banach spaces
Shukla R.
Pant R.
De la Sen M.
Fixed Point Theory and Applications, 2017 (1)
[18] MANN AND TSHIKAWA ITERATIVE PROCESSES FOR CYCLIC RELATIVELY NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES
Aliyari, Marjan
Gabeleh, Moosa
Karapinar, Erdal
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 699 - 713
[19] An inertial iterative algorithm for generalized equilibrium problems and Bregman relatively nonexpansive mappings in Banach spaces
Alansari, Monairah
Farid, Mohammad
Ali, Rehan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[20] Some iterative schemes for generalized vector equilibrium problems and relatively nonexpansive mappings in Banach spaces
Kazmi K.R.
Farid M.
Mathematical Sciences, 2013, 7 (1)

← 1 2 3 4 5 →