The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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

Approximate fixed point theorems for Geraghty-contractions

The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα , Sα and theirdiameters are given in a metric space.

Quadruple fixed point theorems for nonlinear contractions

The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. © 2012 Elsevier Ltd. All rights reserved.

Fixed point theorems for φ-contractions

*Correspondence: [email protected] 1School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan Full list of author information is available at the end of the article Abstract This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function φ when the underlying set is endowed with a b-met...

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...