scholarly journals Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations

2017 ◽  
Vol 22 (4) ◽  
pp. 545-565 ◽  
Author(s):  
Stojan Radenović ◽  
◽  
Tran Van An ◽  
◽  
Keyword(s):  
Integral Equations ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Contraction Mappings ◽  
Partially Ordered

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 Coincidence point theorems for KC-contraction mappings in JS-metric spaces endowed with a directed graph

2019 ◽  
Vol 35 (3) ◽  
pp. 263-272
Author(s):  
WATCHAREEPAN ATIPONRAT ◽  
◽  
SUPREEDEE DANGSKUL ◽  
ANCHALEE KHEMPHET ◽  
◽  
...  
Keyword(s):  
Integral Equations ◽  
Directed Graph ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Contraction Mappings ◽  
Theoretical Results

We introduce the class of KC-contraction mappings and prove some coincidence point theorems for these contractions in JS-metric spaces endowed with a directed graph. An illustrative example as well as an application to integral equations are also given in order to support our main theoretical results.

scholarly journals Common Fixed Point Results for Almost ℛg-Geraghty Type Contraction Mappings in b2-Metric Spaces with an Application to Integral Equations

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 101
Author(s):  
Samera M. Saleh ◽  
Salvatore Sessa ◽  
Waleed M. Alfaqih ◽  
Fawzia Shaddad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Binary Relations ◽  
Contraction Mappings ◽  
Partially Ordered ◽  
Linear Integral ◽  
Type Contraction ◽  
Linear Integral Equations

In this paper, we define almost Rg-Geraghty type contractions and utilize the same to establish some coincidence and common fixed point results in the setting of b2-metric spaces endowed with binary relations. As consequences of our newly proved results, we deduce some coincidence and common fixed point results for almost g-α-η Geraghty type contraction mappings in b2-metric spaces. In addition, we derive some coincidence and common fixed point results in partially ordered b2-metric spaces. Moreover, to show the utility of our main results, we provide an example and an application to non-linear integral equations.

scholarly journals Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Min Liang ◽  
Chuanxi Zhu ◽  
Zhaoqi Wu ◽  
Chunfang Chen
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Nonlinear Integral Equations ◽  
Partially Ordered ◽  
Coupled Coincidence

Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. An example is given to support our main results. As an application, we discuss the existence of the solutions for a class of nonlinear integral equations.

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 n-Tupled Coincidence Point Theorems in Partially Ordered Metric Spaces for Compatible Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Sumitra Dalal ◽  
Muhammad Alamgir Khan ◽  
Sunny Chauhan
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Compatible Mappings ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

The intent of this paper is to introduce the notion of compatible mappings forn-tupled coincidence points due to (Imdad et al. (2013)). Related examples are also given to support our main results. Our results are the generalizations of the results of (Gnana Bhaskar and Lakshmikantham (2006), Lakshmikantham and Ćirić (2009), Choudhury and Kundu (2010), and Choudhary et al. (2013)).

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