Approximating Common Fixed Points of Mean Nonexpansive Mappings in Hyperbolic Spaces

被引:0
|
作者
Ezeora, Jeremiah N. [1 ]
Izuchukwu, Chinedu [2 ]
Mebawondu, Akindele A. [2 ]
Mewomo, Oluwatosin T. [2 ]
机构
[1] Univ Port Harcourt, Dept Math & Stat, Port Harcourt, Nigeria
[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期
关键词
Mean nonexpansive mappings; uniformly convex hyperbolic spaces; strong and Delta-convergence theorem; three step iteration; CONVERGENCE THEOREMS; ITERATIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a common fixed point of two mean nonexpansive mappings and establish some strong and Delta-convergence theorems for these mappings in uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces, CAT(0) spaces and other related results in literature.
引用
收藏
页码:231 / 244
页数:14
相关论文
共 50 条
  • [1] Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
    Ezeora, Jeremiah N.
    Izuchukwu, Chinedu
    Mebawondu, Akindele Adebayo
    Mewomo, Oluwatosin Temitope
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 459 - 471
  • [2] APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Aleyner, Arkady
    Reich, Simeon
    FIXED POINT THEORY, 2009, 10 (01): : 3 - 17
  • [3] Approximating common fixed points of two nonexpansive mappings in Banach spaces
    Atsushiba, S
    Takahashi, W
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 57 (01) : 117 - 127
  • [4] APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Garodia, Chanchal
    Uddin, Izhar
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 85 - 96
  • [5] APPROXIMATING COMMON FIXED POINTS OF (a, b)-MONOTONE AND NONEXPANSIVE MAPPINGS IN HILBERT SPACES
    Mongkolkeha, Chirasak
    Cho, Yeol Je
    Kumam, Poom
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (09) : 1817 - 1833
  • [6] Approximating Fixed Points of Reich-Suzuki Type Nonexpansive Mappings in Hyperbolic Spaces
    Ullah, Kifayat
    Ahmad, Junaid
    De La sen, Manuel
    Khan, Muhammad Naveed
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [7] Common fixed points for four multivalued nonexpansive mappings in kohlenbach hyperbolic spaces
    Saluja, G.S.
    Saluja, G.S. (saluja1963@gmail.com), 1600, Politechnica University of Bucharest (82): : 15 - 26
  • [8] COMMON FIXED POINTS FOR FOUR MULTIVALUED NONEXPANSIVE MAPPINGS IN KOHLENBACH HYPERBOLIC SPACES
    Saluja, G. S.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (02): : 15 - 26
  • [9] Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces
    Pang, Chin-Tzong
    Naraghirad, Eskandar
    JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [10] Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
    Fukhar-ud-din, Hafiz
    Khan, Abdul Rahim
    Hussain, Nawab
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 771 - 779