On uniform opial condition, Uniform Kadec-Klee property in modular spaces and application to fixed point theory

被引:4
|
作者
Kumam, Poom [1 ]
机构
[1] King Mongkuts Univ Technol Thonburi, Dept Math, Bangkok 10140, Thailand
关键词
Uniform opial condition; uniform Kadec-Klee property; fixed point; modular space; rho-nonexpansive mapping; rho-normal structure;
D O I
10.1080/09720502.2005.10700415
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we define an uniform opial condition and uniform Kadec-Klee property in sense of modular spaces. The main purpose of this paper is to extend the results of uniform opial condition and uniform Kadec-Klee property in Banach spaces to modular spaces X-rho.
引用
收藏
页码:377 / 385
页数:9
相关论文
共 50 条
  • [41] Fixed point of multivalued mapping in uniform spaces
    Duran Türkoglu
    Brian Fisher
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2003, 113 : 183 - 187
  • [42] Fixed point theorems for ζ-contractions in uniform spaces
    Ozturk, Vildan
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (02) : 145 - 151
  • [43] Common Fixed Point Theorems in Uniform Spaces
    Ben Dhagat, Vanita
    NOTE DI MATEMATICA, 2010, 30 (01): : 57 - 60
  • [44] Fixed point of multivalued mapping in uniform spaces
    Türkoglu, D
    Fisher, B
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2003, 113 (02): : 183 - 187
  • [45] Application of the product net technique and Kadec-Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces
    Kenari, H. M.
    Saadati, Reza
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [46] On Fixed Point Property under Lipschitz and Uniform Embeddings
    Zhang, Jichao
    Bao, Lingxin
    Su, Lili
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [47] SOME FIXED POINT THEOREMS ON ORDERED UNIFORM SPACES
    Altun, Ishak
    Imdad, Mohammad
    FILOMAT, 2009, 23 (03) : 15 - 22
  • [48] Fixed point of α-ψ-contractive type mappings in uniform spaces
    Ali, Muhammad Usman
    Kamran, Tayyab
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [49] APPROACH TO FIXED-POINT THEOREMS ON UNIFORM SPACES
    TARAFDAR, E
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 191 (464) : 209 - 225
  • [50] Fixed point of α-ψ-contractive type mappings in uniform spaces
    Muhammad Usman Ali
    Tayyab Kamran
    Erdal Karapınar
    Fixed Point Theory and Applications, 2014