Approximating fixed points of (lambda, rho)-firmly nonexpansive mappings in modular function spaces

被引：0
|
作者：
Khan, Safeer Hussain [1 ]
机构：
[1] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2018年 / 7卷 / 04期
关键词：
D O I：
10.1007/s40065-018-0204-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a lambda-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as (lambda, rho)-firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of (lambda, rho) -firmly nonexpansive mappings using the above-mentioned iterative process in modular function spaces.
引用
收藏
页码：281 / 287
页数：7
相关论文
共 50 条
  • [1] Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
    Khan, Safeer Hussain
    Abbas, Mujahid
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [2] Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
    Safeer Hussain Khan
    Mujahid Abbas
    Fixed Point Theory and Applications, 2014
  • [3] APPROXIMATING FIXED POINTS OF ρ-NONEXPANSIVE MAPPINGS BY RK-ITERATIVE PROCESS IN MODULAR FUNCTION SPACES
    Khan, Safeer Hussain
    Fukhar-Ud-Din, Hafiz
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2019, 3 (01): : 107 - 114
  • [4] FIXED POINTS OF ENRICHED ρNONEXPANSIVE MAPPINGS IN MODULAR FUNCTION SPACES
    Khan, Safeer Hussain
    MATEMATICKI VESNIK, 2024, 76 (04): : 303 - 310
  • [5] FIXED POINTS OF MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN MODULAR FUNCTION SPACES
    Alfuraidan, M. R.
    Bachar, M.
    Khamsi, M. A.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (04) : 565 - 573
  • [6] On the fixed points of nonexpansive mappings in modular metric spaces
    Abdou, Afrah A. N.
    Khamsi, Mohamed A.
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [7] On the fixed points of nonexpansive mappings in modular metric spaces
    Afrah AN Abdou
    Mohamed A Khamsi
    Fixed Point Theory and Applications, 2013
  • [8] APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Aleyner, Arkady
    Reich, Simeon
    FIXED POINT THEORY, 2009, 10 (01): : 3 - 17
  • [9] Approximating Fixed Points of Enriched Nonexpansive Mappings in Geodesic Spaces
    Shukla, Rahul
    Panicker, Rekha
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [10] Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
    Pant, Rajendra
    Shukla, Rahul
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (02) : 248 - 266
12345