weak $f$-contractions and some fixed point results

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...

Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces

Compared with the previous work, the aim of  this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.

Common fixed point and approximation results for generalized (f, g)-weak contractions

* Correspondence: arahim@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia Full list of author information is available at the end of the article Abstract The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. ...

Coupled Fixed Point Theorems under Weak Contractions

Fixed point and periodic point results for α-type F-contractions in modular metric spaces

*Correspondence: [email protected] 1Theoretical and Computational Science Center (TaCS-Center), Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand 3Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan Full ...

Common fixed points of f-weak contractions in cone metric spaces

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...