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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Ghasab, EL (Autor) Outra; Chaharpashlou, R (Autor) Outra; António Mendes Lopes (Autor) FEUP

Revista

Título: Symmetry

Vol. 118

Página Final: 70

ISSN: 2073-8994

Editora: MDPI

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12