Fixed Point Results for Multivalued Maps in Metric Spaces with Generalized Inwardness Conditions

Fixexd point theory and applications

M Frigon¹ 

[1] Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada

关键词: Banach Space;    Closed Subset;    Fixed Point Theorem;    Lower Semicontinuous;    Open Cover;   

DOI  :  10.1155/2010/183217

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We establish fixed point theorems for multivalued mappings defined on a closed subset of a complete metric space. We generalize Lim's result on weakly inward contractions in a Banach space. We also generalize recent results of Azé and Corvellec, Maciejewski, and Uderzo for contractions and directional contractions. Finally, we present local fixed point theorems and continuation principles for generalized inward contractions.

【 授权许可】

CC BY