Almost contractive coupled mapping in ordered complete metric spaces

Modified ψ-contractive mappings in ordered metric spaces and applications

We set up two new variants ofψ -contractive mappings designed for two and three maps in metric spaces and originate common fixed point theorems for T -strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric spaces. To demonstrate our results, we give some examples throughout the paper. At the same time, as applications of the presented th...

COUPLED FIXED POINT THEOREMS FOR WEAKLY φ-CONTRACTIVE MIXED MONOTONE MAPPINGS IN ORDERED b-METRIC SPACES

In some recent papers, a method was developed of reducing coupled fixed point problems in (ordered) metric and various generalized metric spaces to the respective results for mappings with one variable. In this paper, we apply the mentioned method and obtain some coupled fixed point results for mappings satisfying φ-weak contractive conditions in ordered b-metric spaces. Examples show how these...

Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations

Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand 2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok, 10400, Thailand Abstract In this paper, we establish some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in par...

Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations

Existence of fixed point in partially ordered sets has been considered recently in 1–17 . Tarski’s theorem is used in 9 to show the existence of solutions for fuzzy equations and in 11 to prove existence theorems for fuzzy differential equations. In 2, 6, 7, 10, 13 some applications to ordinary differential equations and to matrix equations are presented. In 3– 5, 17 some fixed point theorems a...