On Fixed Point Results in Gb-Metric Spaces

The purpose of this paper is to consider various results in the context of G b -metric spaces that have been recently published after the paper (Aghajani, A.; Abbas, M.; Roshan, J.R. Common fixed point of generalized weak contractive mappings in partially ordered G b -metric spaces. Filomat 2014, 28, 1087–1101). Our new results improve, complement, unify, enrich and generalize already well known results on G b -metric spaces. Moreover, some coupled and tripled coincidence point results have been provided.

Tripled coincidence point theorems for mixed g-R-monotone operators in metric spaces endowed with a reflexive relation

In this paper we present some results regarding tripled coincidence points of mixed g-R-monotone operators in the framework of metric spaces endowed with a reflexive relation. Our results extend and generalize some famous results obtained by Berinde, Borcut, Ćirić and Lakshmikantham.

Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces

In this paper, the notion of $ S $-metric spaces will be introduced. We present a some tripled coincidence point results for a mixed $ g $-monotone mappings $ F : X^{3} \rightarrow X $ satisfying $ (\psi,\varphi) $-contractions in partially ordered complete $ S $-metric spaces. Also an application and some example are given to support our results.

Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations

The aim of this paper is to define weakα-ψ-φ-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined onGb-metric spaces using the concept of rectangularG-α-admissibility. As an application, we derive new coupled and tripled coincidence point results for weakψ-φ-contractive mappings in partially orderedGb-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.