Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Ghasab, EL (Author) Other; Chaharpashlou, R (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Symmetry

Vol. 118

Final page: 70

ISSN: 2073-8994

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00X-PBS

DOI: 10.3390/sym15010070

Abstract (EN): This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space, respectively. Some nonunique fixed-point and coupled-fixed-point results for contractive mappings are provided. The findings extend and improve outcomes presented in the existing literature. The main results are illustrated with examples, and validated by means of an application to a system of integral equations. The importance of spaces with non-Hausdorff topology is high, as is the case of computer science, with the Tarskian approach to programming language semantics.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12