Banach operator pairs and common fixed points in modular function spaces

Fixexd point theory and applications

MA Khamsi¹  A Latif²  N Hussain² 

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

关键词: Banach operator pair;    fixed point;    modular function space;    nearest point projection;    asymptotically pointwise ρ-nonexpansive mapping;   

DOI  :  10.1186/1687-1812-2011-75

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce the concept of a Banach operator pair in the setting of modular function spaces. We prove some common fixed point results for such type of operators satisfying a more general condition of nonexpansiveness. We also establish a version of the well-known De Marr's theorem for an arbitrary family of symmetric Banach operator pairs in modular function spaces without Δ2-condition. primary 06F30; 47H09; secondary 46B20; 47E10; 47H10.

【 授权许可】

CC BY