scholarly journals Meir-Keeler type contractions on modular metric spaces

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3697-3707 ◽  
Author(s):  
Ümit Aksoy ◽  
Erdal Karapınar ◽  
İnci Erhan ◽  
Vladimir Rakocevic
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces ◽  
Theoretical Results

In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.

scholarly journals Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
A. P. Farajzadeh ◽  
M. Delfani ◽  
Y. H. Wang
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Admissible Function ◽  
Simulation Function ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Banach Contraction

The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. The results of this article can be viewed as an improvement of the main results given in the references.

Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings

2021 ◽  
Vol 5 (4) ◽  
pp. 159
Author(s):  
Hasanen A. Hammad ◽  
Praveen Agarwal ◽  
Shaher Momani ◽  
Fahad Alsharari
Keyword(s):  
Differential Equation ◽  
Fixed Points ◽  
Fractional Order ◽  
Metric Spaces ◽  
Order Differential Equation ◽  
Fractional Order Differential Equation ◽  
Contraction Mappings ◽  
Continuous Mappings ◽  
Theoretical Results

The intent of this manuscript is to present new rational symmetric ϖ−ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.

scholarly journals Generalized α-Meir-Keeler contraction mappings on Branciari b-metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (17) ◽  
pp. 5445-5456 ◽  
Author(s):  
Selma Gülyaz ◽  
Erdal Karapınar ◽  
İnci Erhan
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contraction Mappings

In this paper, ?-Meir-Keeler and generalized ?-Meir-Keeler contractions on Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems are proved. Various consequences of the main results are also presented.

scholarly journals Fixed Points of Generalized α -Meir-Keeler Contraction Mappings in S b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Thounaojam Stephen ◽  
Yumnam Rohen ◽  
Naeem Saleem ◽  
Mairembam Bina Devi ◽  
K. Anthony Singh
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contraction Mappings

In this note, we define Meir-Keeler contraction in S b -metric spaces. Further, by adding the concept of α -admissible mappings, we define generalized α s -Meir-Keeler contraction and used it for examining the existence and uniqueness of fixed points. Various results are also given as a consequence of our results.

scholarly journals Some Results on N-Tupled Coincidence and Fixed Points of Graphs on Metric Spaces and an Application to Integral Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Ahmed H. Soliman ◽  
Tamer Nabil
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Uniqueness Of Solutions ◽  
Systems Of Integral Equations ◽  
Theoretical Results

In this work, we establish some N-tupled common coincidence and N-tupled common fixed points for the mappings satisfying a (φ-ψ)-type contractive condition in a complete metric space endowed with a directed graph (for short digraph). Also, we apply our theoretical results to study the existence and uniqueness of solutions for systems of integral equations.

scholarly journals On Asymptotic Pointwise Contractions in Modular Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Afrah A. N. Abdou
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces

In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.

scholarly journals Fixed point results concerning α-F-contraction mappings in metric spaces

2019 ◽  
Vol 20 (1) ◽  
pp. 81 ◽  
Author(s):  
Lakshmi Kanta Dey ◽  
Poom Kumam ◽  
Tanusri Senapati
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Contraction Mappings

<p>In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.</p>

The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

2016 ◽  
Vol 59 (01) ◽  
pp. 3-12 ◽  
Author(s):  
Monther Rashed Alfuraidan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Orlicz Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Modular Metric Spaces ◽  
Modular Spaces

Abstract We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein’s fixed point theorems to modular metric spaces endowed with a graph.

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