Approximate fixed point theorems for Geraghty-contractions

approximate fi xed point theorems for geraghty-contractions

the purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fi xed point on geraghty-contraction. in this paper,de nitions of approximate -pair fi xed 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...

Fixed point theorems of JS-quasi-contractions

*Correspondence: [email protected] 3Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang, 330013, China Full list of author information is available at the end of the article Abstract In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point results for JS-quasi-contractions in complete metric spaces under the assumption that the ...

Coupled Fixed Point Theorems under Weak Contractions

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...