Some fixed point theorems in Branciari metric spaces-Reference-Cited by-同舟云学术

Some fixed point theorems in Branciari metric spaces

Published:2017-09-22 Issue:5 Volume:67 Page:1189-1202
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Berzig Maher¹,Karapinar Erdal²³,Roldán-López-de-Hierro Antonio F.⁴⁵

Affiliation:

1. Department of Mathematics École Nationale Supérieure d’Ingénieurs de Tunis Tunis University Tunis Tunisia E-mail:

2. Department of Mathematics Atilim University Ankara Turkey

3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group King Abdulaziz University 21589 , Jeddah Saudi Arabia E-mail:

4. Department of Quantitative Methods for Economics and Business University of Granada Granada Spain

5. PAIDI Research Group FQM-268 University of Jaén Jaén Spain E-mail:

Abstract

Abstract In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with a transitive binary relation. Our results unify and extend some existing fixed point results in the related literature.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0042/pdf

Reference21 articles.

1. Aydi, H.—Karapinar, E.—Samet, B.: Fixed points for generalized α, Ψ-contractions on generalized metric spaces, J. Inequal. Appl. (2014).

2. Aydi, H.—Karapinar, E.—Lakzian, H.: Fixed point results on the class of generalized metric spaces, Math. Sciences (2012), 6:46.10.1186/2251-7456-6-46

3. Berzig, M.: Coincidence and common fixed point results on metric spaces endowed with an arbitrary binary relation and applications, J. Fixed Point Theory Appl. 12 (2013), 221–238.

4. Berzig, M.—Karapinar, E.: Fixed point results for αΨ, βΨ-contractive mappings for a generalized altering distance, Fixed Point Theory Appl. 2013 (2013), 2013:205.10.1186/1687-1812-2013-205

5. Berzig, M.—Rus, M-D.: Fixed point theorems for α -contractive mappings of Meir-Keeler type and applications, Nonlinear Anal. Model. Control. 19 (2014), 178–198.

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