Common Best Proximity Point Theorem on the Context of Bimetric Spaces

Common Best Proximity Point Theorem on the Context of Bimetric Spaces

M. Iadh. Ayari

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M. Ali. Ayari

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Sahbi. Ayari

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Qatar University

Common Best Proximity Point Theorem on the Context of Bimetric Spaces

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Abstract

In this paper, we obtained some best proximity point results for continuous proximal βquasi contractive mappings in the setting of two metrics space. We illustrate our main theorem with an example. As application, we establish several results on existence and uniqueness of fixed points in complete metric spaces.

References

27 Cites in Article

Reference Format

M Khan,M Berzig,S Chandok (2015). Fixed point theorems in bimetric space endowed with binary relation and applications.
Fan (1669). Extentions of two fixed point theorems of F.
J Prolla (1982). Fixed point theorems for set-valued mappings and existence of best approximations.
Simeon Reich (1978). Approximate selections, best approximations, fixed points, and invariant sets.
V Sehgal,Sp Singh (1988). A generalization to multifunctions of Fan’s best approximation theorem.
V Sehgal,Sp Singh (1989). A theorem on best approximations.
Mohamed Ayari (2017). Best proximity point theorems for generalized α-β-proximal quasi-contractive mappings.
Sadiq,Bacha (2010). Extentions of Banach's contraction principle.
Mohamed Jleli,Bessem Samet (2014). An optimization problem involving proximal quasi-contraction mappings.
Maher Berzig (2012). Coincidence and common fixed point results on metric spaces endowed with an arbitrary binary relation and applications.
M Ayari,M Berzig,I Kédim (2016). Coincidence and common fixed point results for β-quasi contractive mappings on metric spaces endowed with binary relation.
M Iadh,M Ayari,Jaradat,Zeadmustfa Generalization of Best Proximity Points Theorem for Non-Self Proximal Contractions of First Kind Submitted.
S Chatterjea (1972). Fixed-point theorems.
B Lj,Ciri´c (1974). A generalization of Banach's contraction principle.
B Lj,Ciri´c (1971). Some fixed point theorems for Ψ-Chatterjea contractions in C∗-algebra-valued generalized metric spaces.
G Hardy,T Rogers (1973). A generalization of a fixed point theorem of Reich.
M Maia (1968). Un'asservazione sulle contrazioni metriche.
R Kannan (1969). On certain sets and fixed point theorems.
Juan Nieto,Rosana Rodríguez-López (2007). Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations.
André Ran,Martine Reurings (2003). A fixed point theorem in partially ordered sets and some applications to matrix equations.
Mădălina Păcurar,Ioan Rus (2010). Fixed point theory for cyclic -contractions.
W Kirk,P Srinivasan,P Veeramani (2003). Fixed points for mappings satisfying cyclical contractive conditions.
M Khan,M Berzig,S Chandok (2015). Fixed Point Theorems In Bimetric Space Endowed With Binary Relation And Applications.
B Samet,M Turinci (2012). Fixed points theorems on a metric space endowed with an arbitrary binary relation and applications.
Tiryaki Aktasmf,A Zafer (2012). Oscillation of third-order nonlinear delay difference equations.
M Turinici (2014). Contractive Operators in Relational Metric Spaces.
Globaljournals (2019). Managing HCI Guidelines with Hypertext on the WWW.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

M. Iadh. Ayari. 2019. \u201cCommon Best Proximity Point Theorem on the Context of Bimetric Spaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F2): .

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GJSFR Volume 19 Issue F2
Pg. 59- 66

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 47H10, 54H25

Submission ReceivedMarch 9, 2019
Peer Review Double Blind
Handling Editor
Accepted April 2, 2019
Published April 17, 2019

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v1.2

Issue date

May 29, 2019

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Article Matrices

Total Score: 123

Country: Qatar

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M. Iadh. Ayari, M. Ali. Ayari, Sahbi. Ayari (PhD/Dr. count: 0)

View Count (all-time): 159

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Publish Date: 2019 05, Wed

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Total Views: 2705

Total Downloads: 1246

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