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
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
  • [41] 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
  • [42] 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
  • [43] APPROXIMATING FIXED POINTS OF NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES WITHOUT UNIFORM CONVEXITY
    Sahu, Daya Ram
    Khan, Abdul Rahim
    Kang, Shin Min
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 1007 - 1020
  • [44] Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces
    Qin, Xiaolong
    Su, Yongfu
    Shang, Meijuan
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2007, 5 (02): : 345 - 357
  • [45] On modular firmly nonexpansive mappings in the variable exponent sequence spaces lp(.)
    Abdou, Afrah A. N.
    Khamsi, M. A.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (01)
  • [46] FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Golkar, F.
    Dianatifar, A.
    Aminpour, A. M.
    Sadeghi, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (04): : 295 - 303
  • [48] A New Iteration Scheme For Approximating Fixed Points of Nonexpansive Mappings
    Thakur, Balwant Singh
    Thakur, Dipti
    Postolache, Mihai
    FILOMAT, 2016, 30 (10) : 2711 - 2720
  • [49] APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Safeer Hussain Khan
    Mujahid Abbas
    AnalysisinTheoryandApplications, 2011, 27 (01) : 76 - 91
  • [50] Approximating Fixed Points of Infinite Nonexpansive Mappings by the Hybrid Method
    M. Kikkawa
    W. Takahashi
    Journal of Optimization Theory and Applications, 2003, 117 : 93 - 101