Asymptotic fixed-point theorems and stability

Some new asymptotic fixed point theorems.

For a continuous self mapping f of a locally convex topological vector space which is locally compact (i.e., f maps a neighborhood of each point into a relatively compact set), it is shown that a sufficient condition for the existence of a fixed point is the existence of a compact attractor K(0) such that each orbit under f has a point of K(0) in its closure. The proof is based upon the circle ...

Stability and Asymptotic Fixed-point Theory.

THE FIXED POINT INDEX AND ASYMPTOTIC FIXED POINT THEOREMS FOR ft-SET-CONTRACTIONS

Random Fixed Point Theorems for Asymptotic 1-set Contraction Operators

Random fixed point theorems for condensing 1-set contraction selfmaps are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps. 1. Introduction. Random fixed point theorems are stochastic versions of (classical or deterministic) fixed point theorems and ar...

Some fixed point theorems and common fixed point theorem in log-convex structure

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.