Fixed point theorems for some discontinuous operators

Some fixed point theorems for discontinuous mappings

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results. Résumé: Nous prouvons dans cet article un théorème de point fixe du type Schauder (dont un corollaire en dimension finie est le théorème de Brouwer) pour des applications qui peuvent présenter des discontinuités. N...

Some Random Fixed Point Theorems for Condensing and Nonexpansive Operators

Some random versions of deterministic fixed point theorems for condensing and nonexpansive operators are obtained.

Some Fixed Point Theorems

Introduction. We wish to summarize here some new asymptotic fixed point theorems. By an asymptotic fixed point theorem we mean roughly a theorem in functional analysis in which the existence of fixed points of a map ƒ is proved with the aid of assumptions on the iterates f of ƒ. Such theorems have proved of use in the theory of ordinary and functional differential equations (see [7], [8], [9] a...

Some common fixed point theorems for Gregus type mappings

In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the w...

Fixed point theorems for sums of operators