Faintly compatible mappings and common fixed points

Fixexd point theory and applications

Naseer Shahzad¹  Ravindra K Bisht² 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics-Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Uttarakhand Technical University, Almora, India

关键词: common fixed point;    compatible maps;    weak compatible maps;    Lipschitz-type mappings;   

DOI  :  10.1186/1687-1812-2013-156

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we introduce a generalization of the concept of compatible mappings, and using that condition, we obtain some new fixed point theorems under both contractive and noncontractive conditions, which may allow the existence of a common fixed point or the existence of multiple fixed or coincidence points. We also manifest that the new concept is a necessary condition for the existence of a common fixed point. MSC:47H10, 54H25.

【 授权许可】

CC BY