Type:

Fixed point theorems for generalized set-contraction maps and their applications

Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 15 May 2009Volume: 72Issue: Pages: 2891 - 2895

Amini Harandi A.^aFakhar M.^a Zafarani J.

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1016/j.na.2009.11.033Language: English

Abstract

A new generalized set-valued contraction on topological spaces with respect to a measure of noncompactness is introduced. Two fixed point theorems for the K K M type maps which are either generalized set-contraction or condensing ones are given. Furthermore, applications of these results for existence of coincidence points and maximal elements are deduced. © 2009.

Author Keywords

Other Keywords

Coincidence pointsContraction mapsFixed point theoremsMaximal elementsMeasure of noncompactnessSet-valued contractionTopological spaces