Best proximity point results in geodesic metric spaces

Fixexd point theory and applications

Mohammed A Alghamdi¹  Naseer Shahzad¹  Maryam A Alghamdi² 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: Convex Subset;    Nonexpansive Mapping;    Nonempty Subset;    Finite Subset;    Nonempty Closed Convex Subset;   

DOI  :  10.1186/1687-1812-2012-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the existence of a best proximity point for relatively u-continuous mappings is proved in geodesic metric spaces. As an application, we discuss the existence of common best proximity points for a family of not necessarily commuting relatively u-continuous mappings.

【 授权许可】

CC BY