ON FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS

An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

A fixed point result for a new class of set-valued contractions

In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

Fixed Point Theorems for Set-valued Generalized Asymptotic Contractions (communicated by Helge Gloeckner)

The purpose of this paper is to obtain some coincidence and fixed point theorems for a generalized hybrid pair of single-valued and set-valued non continuous maps. Our results generalize some recent results.

Fixed points of weak $psi$-quasi contractions in generalized metric spaces

In this paper, we introduce the notion of weak $psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in support of our main result.

Strict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type

‎‎Many authors such as Amini-Harandi‎, ‎Rezapour ‎et al., ‎Kadelburg ‎et al.‎‎, ‎have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}‎, ‎1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version‎. In this paper‎, ‎we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...