TRIPLE FIXED POINT THEOREMS FOR MAPPINGS SATISFYING WEAK CONTRACTIONS UNDER F-INVARIANT SET

Coupled Fixed Point Theorems under Weak 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.

Fixed point theorems for F-expanding mappings

*Correspondence: [email protected] Department of Mathematics and Applied Physics, Rzeszów University of Technology, P.O. Box 85, Rzeszów, 35-959, Poland Abstract Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction of research, in this...

Weak $F$-contractions and some fixed point results

In this paper we define weak $F$-contractions on a‎ ‎metric space into itself by extending $F$-contractions‎ ‎introduced by D‎. ‎Wardowski (2012) and provide some fixed point‎ ‎results in complete metric spaces and in partially ordered complete ‎generalized metric spaces‎. ‎Some relationships between weak‎ ‎$F$-contractions and $Fi$-contractions are highlighted‎. ‎We also ‎give some application...

Fixed Point Theorems for Set-valued Mappings