Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Fixexd point theory and applications

Erdal Karapinar¹ 

[1] Department of Mathematics, Atilim University, Incek, Turkey

关键词: Partial metric space;    Lower semi-continuous;    Fixed point theory;   

DOI  :  10.1186/1687-1812-2011-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial metric spaces. Some more general results are also obtained in partial metric spaces. 2000 Mathematics Subject Classification 47H10,54H25.

【 授权许可】

CC BY