Functional type Caristi-Kirk theorem on two metric spaces and applications

Fixexd point theory and applications

Karim Chaira³  ElMiloudi Marhrani⁴ 

[1] éCentre RéLaboratory of Algebra Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, Casablanca, Morocco;ducation et de la Formation, Rabat, Morocco;gional des Métiers de l’

关键词: complete metric space;    Caristi-Kirk fixed point theorem;    locally bounded function;    ordered metric space;    maximal element;    simultaneous projection;    47H10;    54H25;   

DOI  :  10.1186/s13663-016-0586-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we give some generalizations of the functional type Caristi-Kirk theorem (see Functional Type Caristi-Kirk Theorems, 2005) for two mappings on metric spaces. We investigate the existence of some fixed points for two simultaneous projections to find the optimal solutions of the proximity two functions via Caristi-Kirk fixed point theorem.

【 授权许可】

CC BY