On the fixed points of nonexpansive mappings in modular metric spaces

Fixexd point theory and applications

Mohamed A Khamsi¹  Afrah AN Abdou² 

[1] Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: nonexpansive mapping;    fixed point;    modular function space;    modular metric spaces;    Orlicz spaces;   

DOI  :  10.1186/1687-1812-2013-229

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property. MSC:47H09, 46B20, 47H10, 47E10.

【 授权许可】

CC BY