Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces

Fixexd point theory and applications

D O'¹  A Amini-Harandi² 

[1] Department of Mathematics, National University of Ireland, Galway, Ireland;Department of Mathematics, University of Shahrekord, Shahrekord, Iran

关键词: Real Number;    Point Theorem;    Differentiable Function;    Fixed Point Theorem;    Triangle Inequality;   

DOI  :  10.1155/2010/390183

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature.

【 授权许可】

CC BY