Common fixed points and best approximations in locally convex spaces

Fixexd point theory and applications

Saleh Abdullah Al-Mezel¹ 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: best approximations;    common fixed points;    locally convex spaces;    R-subcommuting maps;    R-weakly commuting.;   

DOI  :  10.1186/1687-1812-2011-99

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We extend the main results of Aamri and El Moutawakil and Pant to the weakly compatible or R-weakly commuting pair (T, f) of maps, where T is multivalued. As applications, common fixed point theorems are obtained for new class of maps called R-subcommuting maps in the setup of locally convex topological vector spaces. We also study some results on best approximation via common fixed point theorems. 2000 MSC 41A65; 46A03; 47H10; 54H25.

【 授权许可】

CC BY