scholarly journals Common Fixed Point Results for Set-valued Integral Type Contractions on Metric Spaces with Directed Graph

2020 ◽  
Vol 13 (5) ◽  
pp. 1072-1087
Author(s):  
Saadia Benchabane ◽  
Smail Djebali ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence Theorem ◽  
Directed Graph ◽  
Metric Spaces ◽  
Integral Type ◽  
Contraction Mappings ◽  
Type Contraction

The aim of this paper is to establish new common fixed pointresults for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.

scholarly journals Some common fixed point theorems for Ciric type contraction mappings

2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Type Contraction

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.

scholarly journals An Application of Fixed Point Theorems in Fuzzy Metric Space

2019 ◽  
Vol 11 (1) ◽  
pp. 37
Author(s):  
Ali Hassan Abbaker Abd Alla
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorem ◽  
Type Contraction

We prove common fixed point theorem in fuzzy metric spaces in the sense of George and Veeramani. We prove the theory of integral type contraction as an application.

scholarly journals Unique Common Fixed Point Results with Application in Fuzzy Metric Spaces

2019 ◽  
Vol 9 (2) ◽  
pp. 2527-2529
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Fuzzy Theory ◽  
Integral Type ◽  
Generalized Contraction ◽  
Communication And Technology ◽  
Common Fixed Point Theorem ◽  
Type Contraction ◽  
Unique Common Fixed Point

Fixed points in fuzzy theory plays a very significant task in the field of mathematical and computer sciences. This theory has numerous applications in the area of communication and technology, computer science and information security and many others. Many researchers established the results of point for an assortment of mappings in different metric spaces. In present paper, our aim is to establish a common fixed point theorem satisfying generalized contraction in FMS. We also bestow an application for integral type contraction

Common fixed point theorems for Geraghty’s type contraction mapping with two generalized metrics endowed with a directed graph in JS-metric spaces

2018 ◽  
Vol 34 (3) ◽  
pp. 305-312
Author(s):  
PHAKDI CHAROENSAWAN ◽  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Directed Graph ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Results ◽  
Generalized Metrics ◽  
Common Fixed Point Theorems ◽  
Type Contraction

The purpose of this work is to present some existence results for common fixed point theorems for Geraghty contraction mappings with two generalized metrics endowed with a directed graph in JS-metric spaces. Some examples supported our main results are also presented.

scholarly journals Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 86 ◽  
Author(s):  
Eskandar Ameer ◽  
Hassen Aydi ◽  
Muhammad Arshad ◽  
Habes Alsamir ◽  
Mohd Noorani
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Metric Spaces ◽  
Matrix Equations ◽  
Existence Of A Solution ◽  
Contraction Mappings ◽  
Nonlinear Matrix ◽  
Set Up ◽  
Type Contraction

In this paper, we initiate the notion of generalized multivalued ( α K * , Υ , Λ ) -contractions and provide some new common fixed point results in the class of α K -complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.

scholarly journals Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 467 ◽  
Author(s):  
Eskandar Ameer ◽  
Hassen Aydi ◽  
Muhammad Arshad ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Common Fixed Point ◽  
Directed Graph ◽  
Fractional Differential Equations ◽  
Metric Spaces ◽  
Electric Circuit ◽  
Contraction Mappings ◽  
Fractional Differential

In this paper, we initiate the notion of Ćirić type rational graphic Υ , Λ -contraction pair mappings and provide some new related common fixed point results on partial b-metric spaces endowed with a directed graph G. We also give examples to illustrate our main results. Moreover, we present some applications on electric circuit equations and fractional differential equations.

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.

Sign in / Sign up

Export Citation Format

Share Document