Caristi-Type Fixed Point Theorem over Száz Principle in Quasi-Metric Space with a Graph

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Abstract

The aim of this paper is to generalize Caristi’s fixed point theorem in a K-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main result.

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Most cited references 10

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James Caristi (1976)

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Completeness in quasi-metric spaces and Ekeland Variational Principle

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Author and article information

Journal

Title: Journal of Mathematics

Abbreviated Title: Journal of Mathematics

Publisher: Hindawi Limited

ISSN (Print): 2314-4629

ISSN (Electronic): 2314-4785

Publication date Created: July 01 2019

Publication date (Print): July 01 2019

Volume: 2019

Pages: 1-4

Affiliations

[1 ]Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’sik, University of Hassan II Casablanca, Morocco

[2 ]Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies of Mohammedia, University of Hassan II Casablanca, Morocco

[3 ]Laboratory of Mathematical Analysis and Applications (LAMA), Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco