Fixed point results of pointwise contractions in modular metric spaces

Fixexd point theory and applications

Mohamed A Khamsi¹  Afrah AN Abdou² 

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

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

DOI  :  10.1186/1687-1812-2013-163

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, were recently introduced. In this paper we investigate the existence of fixed points of modular contractive mappings in modular metric spaces. These are related to the successive approximations of fixed points (via orbits) which converge to the fixed points in the modular sense, which is weaker than the metric convergence. MSC: 47H09, 46B20, 47H10, 47E10.

【 授权许可】

CC BY