Type: Article
Fixed point theorems for multi-valued contractions in distance spaces
Journal: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas (15791505)Year: September 2014Volume: 108Issue: Pages: 721 - 732
DOI:10.1007/s13398-013-0136-4Language: English
Abstract
In this paper, we first introduce a distance space and then give a new fixed point theorem for multi-valued contractions in such spaces. Even in the case of metric spaces, our main theorem unifies and generalizes some recent results in the literature. Some examples are given to show that the fixed point result given here is a genuine generalization. © 2013 Springer-Verlag Italia.
Author Keywords
Distance spaceFixed pointMulti-valued contraction
Other Keywords
Fixed point arithmeticFunctional analysisDistance spaceFixed pointsFixed points theoremsGeneralisationMetric spacesMulti-valuedMulti-valued contractionTopology