On monotone contraction mappings in modular function spaces

被引：5
|
作者：
Alfuraidan, Monther R. [1 ]
Bachar, Mostafa [2 ]
Khamsi, Mohamed A. [3 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
fixed point; modular function space; monotone mappings; pointwise contraction; PARTIALLY ORDERED SETS; THEOREMS;
D O I：
10.1186/s13663-015-0274-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension of these results to the case of pointwise monotone-contraction mappings in modular function spaces.
引用
收藏
页数：11
相关论文
共 50 条
  • [31] FIXED POINTS OF ENRICHED ρNONEXPANSIVE MAPPINGS IN MODULAR FUNCTION SPACES
    Khan, Safeer Hussain
    MATEMATICKI VESNIK, 2024, 76 (04): : 303 - 310
  • [32] ON MONOTONE CIRIC QUASI-CONTRACTION MAPPINGS
    Bachar, M.
    Khamsi, M. A.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (02): : 511 - 519
  • [33] On Suzuki Mappings in Modular Spaces
    Bejenaru, Andreea
    Postolache, Mihai
    SYMMETRY-BASEL, 2019, 11 (03):
  • [34] FIXED POINT THEOREMS OF EXPANSIVE TYPE MAPPINGS IN MODULAR FUNCTION SPACES
    Abbas, M.
    Khan, S. H.
    Razani, A.
    FIXED POINT THEORY, 2011, 12 (02): : 235 - 240
  • [35] Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
    Khan, Safeer Hussain
    Abbas, Mujahid
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [36] On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces
    Bin Dehaish, Buthinah A.
    Khamsi, Mohamed A.
    Kozlowski, Wojciech M.
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [37] Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces
    Safeer Hussain Khan
    Mujahid Abbas
    Fixed Point Theory and Applications, 2014
  • [38] On monotone Ćirić quasi-contraction mappings with a graph
    Monther Rashed Alfuraidan
    Fixed Point Theory and Applications, 2015
  • [39] On monotone Ciric quasi-contraction mappings with a graph
    Alfuraidan, Monther Rashed
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [40] MONOTONE RESOLUTION SEQUENCE-SPACES AND MAPPINGS
    LEAKE, RJ
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (09): : 800 - 804
12345