scholarly journals On Generalized Rational α − Geraghty Contraction Mappings in G − Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
N. Priyobarta ◽  
Bulbul Khomdram ◽  
Yumnam Rohen ◽  
Naeem Saleem
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings

In this paper, we discuss about various generalizations of α − admissible mappings. Furthermore, we extend the concept of α − admissible to generalize rational α − Geraghty contraction in G − metric space. With this new contraction mapping, we establish some fixed-point theorems in G − metric space. The obtained result is verified with an example.

scholarly journals Common Fixed Point Theorems for Multivalued Generalized F-Suzuki-Contraction Mappings in Complete Strong b-Metric Spaces

2019 ◽  
pp. 88-94
Author(s):  
Yusuf Ibrahim
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Common Fixed Point Theorems

This paper introduces a new version of multivalued generalized F-Suzuki-Contraction mapping and then establish some new common fixed point theorems for these new multivalued generalized F-Suzuki-Contraction Mappings incomplete strong b-Metric Spaces.

scholarly journals New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Muhammad Usman Ali ◽  
Hassen Aydi ◽  
Monairah Alansari
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Type Contraction

Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact.

scholarly journals SOME FIXED POINT RESULTS FOR CONVEX CONTRACTION MAPPINGS ON F-METRIC SPACES

2021 ◽  
pp. 939
Author(s):  
Hamid Faraji ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Alpha Beta ◽  
Theoretical Results

In this paper, we establish some fixed point theorems for convex contraction mappings in F-metric spaces. Also, we introduce the concept of (\alpha,\beta)-convex contraction mapping in F-metric spaces and give some fixed point results for such contractions. Moreover, some examples are given to support our theoretical results.

scholarly journals On Multivalued Fuzzy Contractions in Extended b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Nayab Alamgir ◽  
Quanita Kiran ◽  
Hassen Aydi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Contraction Mappings ◽  
Nadler’S Fixed Point Theorem ◽  
The Family ◽  
Fuzzy Fixed Point

In this paper, we establish a Hausdorff metric over the family of nonempty closed subsets of an extended b -metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α -fuzzy fixed point theorems in the context of extended b -metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. Further, we establish α -fuzzy fixed point theorems for Ćirić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results.

scholarly journals Fixed Points Results in G-Metric Spaces

2019 ◽  
Vol 32 (1) ◽  
pp. 142
Author(s):  
Salwa Salman Abed ◽  
Anaam Neamah Faraj ◽  
Anaam Neamah Faraj
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Closed Ball ◽  
Local Contraction

  In this paper, the concept of contraction mapping on a -metric space is extended with a consideration on local contraction.  As a result, two fixed point theorems were proved for contraction on a closed ball in a complete -metric space.

The existence theorem of a new multi-valued mapping in metric space endowed with graph

2017 ◽  
Vol 33 (2) ◽  
pp. 191-198
Author(s):  
ARAYA KHEAWBORISUT ◽  
◽  
SUTHEP SUANTAI ◽  
ATID KANGTUNYAKARN ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Existence Theorem ◽  
Directed Graph ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Problems ◽  
Ordered Metric Spaces ◽  
New Type

In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.

scholarly journals Some α − ϕ -Fuzzy Cone Contraction Results with Integral Type Application

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Saif Ur Rehman ◽  
Shamoona Jabeen ◽  
Sami Ullah Khan ◽  
Mohammed M. M. Jaradat
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Nonlinear Integral Equation ◽  
Metric Spaces ◽  
Integral Type ◽  
Contraction Mappings ◽  
Theoretical Results ◽  
Cone Metric

In this paper, we define α -admissible and α - ϕ -fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed. Ultimately, our theoretical results have been utilized to show the existence of the solution to a nonlinear integral equation. This application is also illustrative of how fuzzy metric spaces can be used in other integral type operators.

scholarly journals Fixed Point Results for C -Contractive Mappings in Generalized Metric Spaces with a Graph

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Karim Chaira ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Matrix Equations ◽  
Generalized Metric Spaces ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Generalized Metric

In this paper, we establish fixed point theorems for Chatterjea contraction mappings on a generalized metric space endowed with a graph. Our results extend, generalize, and improve many of existing theorems in the literature. Moreover, some examples and an application to matrix equations are given to support our main result.

scholarly journals The Kannan Contraction Mapping Theorem for Composition Operators in Metric Spaces and Partially Ordered Metric Spaces

2019 ◽  
Author(s):  
Clement Boateng Ampadu
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Composition Operators ◽  
Contraction Mapping Theorem ◽  
Ordered Metric Spaces ◽  
Kannan Contraction

In this paper, fixed point theorems of the Kannan type are obtained in the setting of metric space and metric space endowed with partial order, respectively, for self-mappings that are composition operators.

scholarly journals Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Arul Joseph Gnanaprakasam ◽  
Salah Mahmoud Boulaaras ◽  
Gunaseelan Mani ◽  
Mohamed Abdalla ◽  
Asma Alharbi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Rational Contraction ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b -metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.

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