A Proposal for Revisiting Ćirić and Caristi Type Theorems in Metric Spaces-Reference-Cited by-同舟云学术

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A Proposal for Revisiting Ćirić and Caristi Type Theorems in Metric Spaces

Published:2020-07-01 Issue: Volume:2020 Page:1-8
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Seddoug Belkassem¹,Chaira Soumia²,Chaira Karim³^ORCID

Affiliation:

1. CRMEF, Rabat-Salé-Kénitra, Avenue Allal El Fassi, Bab Madinat Al Irfane, B.P 6210, 10000 Rabat, Morocco

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

3. Laboratory of Algebra, Analysis and Applications (L3A) Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik, Avenue Cdt Driss El Harti, B.P 7955, Sidi Othmane, Casablanca, Morocco

Abstract

In this paper, we revisit the renowned fixed point theorems of Ćirić and Caristi. We propose some new fixed point theorems in a metric space with partial order. To make our results effective, several examples are presented.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2020/1853704.pdf

Reference17 articles.

1. Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

2. Shorter Notes: Fixed Points and Partial Orders

3. Common Fixed Points and Partial Orders

4. Fixed point theorems for mappings satisfying inwardness conditions

5. Some generalizations of Caristi type fixed point theorem on partial metric spaces

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