scholarly journals Coupled and tripled coincidence point results under $$(F, g)$$ ( F , g ) -invariant sets in $$G_b$$ G b -metric spaces and $$G$$ G - $$\alpha $$ α -admissible mappings

2015 ◽  
Vol 9 (1) ◽  
pp. 11-26
Author(s):  
Nawab Hussain ◽  
Vahid Parvaneh ◽  
Farhan Golkarmanesh
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Invariant Sets ◽  
Tripled Coincidence Point

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 Remarks on Some Recent Coupled Coincidence Point Results in Symmetric G-Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Stojan Radenović
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Tripled Coincidence Point ◽  
Coupled Coincidence

We use a method of reducing coupled coincidence point results in (ordered) symmetric G-metric spaces to the respective results for mappings with one variable, even obtaining (in some cases) more general theorems. Our results generalize, extend, unify, and complement recent coupled coincidence point theorems in this frame, established by Cho et al. (2012), Aydi et al. (2011), and Choudhury and Maity (2011). Also, by using our method several recent tripled coincidence point results in ordered symmetric G-metric spaces can be reduced to the coincidence point results with one variable.

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.

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

2018 ◽  
Vol 27 (1) ◽  
pp. 21-30
Author(s):  
Melánia-Iulia Dobrican ◽  
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Monotone Operators ◽  
Coincidence Points ◽  
Tripled Coincidence Point

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.

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