scholarly journals Discussion of coupled and tripled coincidence point theorems for φ-contractive mappings without the mixed g-monotone property

2014 ◽  
Vol 2014 (1) ◽  
pp. 92 ◽  
Author(s):  
Erdal Karapınar ◽  
Antonio Roldán ◽  
Naseer Shahzad ◽  
Wutiphol Sintunavarat
Keyword(s):  
Coincidence Point ◽  
Monotone Property ◽  
Tripled Coincidence Point ◽  
Contractive Mappings

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

2017 ◽  
Vol 9 (5) ◽  
pp. 108
Author(s):  
Abdolsattar Gholidahneh ◽  
Shaban Sedghi
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Monotone Mappings ◽  
Partially Ordered ◽  
Tripled Coincidence Point ◽  
Contractive Mappings ◽  
Weakly Contractive

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.

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

2014 ◽  
Vol 2014 ◽  
pp. 1-18 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Nawab Hussain ◽  
Jamal Rezaei Roshan ◽  
Vahid Parvaneh
Keyword(s):  
Integral Equations ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fredholm Integral Equations ◽  
Partially Ordered ◽  
Tripled Coincidence Point ◽  
Contractive Mappings ◽  
Nonlinear 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.

scholarly journals On Fixed Point Results in Gb-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 617 ◽  
Author(s):  
Hassen Aydi ◽  
Dušan Rakić ◽  
Asadolah Aghajani ◽  
Tatjana Došenović ◽  
Mohd Salmi Md Noorani ◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partially Ordered ◽  
Tripled Coincidence Point ◽  
Contractive Mappings

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.

Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Jamshaid Ahmad ◽  
Muhammad Arshad ◽  
Pasquale Vetro
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract.In this paper, we extend the coupled coincidence point theorems for a mixed

scholarly journals Some fixed point results of generalized $$(\phi , \psi )$$-contractive mappings in ordered b-metric spaces

2020 ◽  
Vol 13 (1) ◽  
Author(s):  
Belay Mitiku ◽  
Kalyani Karusala ◽  
Seshagiri Rao Namana
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Common Fixed Points ◽  
Coupled Coincidence Point ◽  
Partially Ordered ◽  
Coupled Common Fixed Point ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. Result The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.

scholarly journals Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Nguyen Manh Hung ◽  
Erdal Karapınar ◽  
Nguyen Van Luong
Keyword(s):  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Implicit Relation ◽  
Partially Ordered Metric Spaces ◽  
Monotone Property ◽  
Partially Ordered ◽  
Coupled Coincidence

We prove a coupled coincidence point theorem for mappingsF: andg: , whereFhas the mixedg-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.

scholarly journals Discussion on “Multidimensional Coincidence Points” via Recent Publications

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Saleh A. Al-Mezel ◽  
Hamed H. Alsulami ◽  
Erdal Karapınar ◽  
Antonio-Francisco Roldán López-de-Hierro
Keyword(s):  
Point Theorem ◽  
Coincidence Point ◽  
Mixed Monotone Property ◽  
Coincidence Points ◽  
Monotone Property

We show that some definitions of multidimensional coincidence points are not compatible with the mixed monotone property. Thus, some theorems reported in the recent publications (Dalal et al., 2014 and Imdad et al., 2013) have gaps. We clarify these gaps and we present a new theorem to correct the mentioned results. Furthermore, we show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem.

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