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

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.

Bibliographic Details
Main Authors: A. Amini-Harandi, D. O'Regan
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/390183