On extended, and extended rectangular, Menger probabilistic b-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations

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

Authors

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

Journal

Title: Computational and Applied Mathematics

Vol. 42

ISSN: 0101-8205

Publisher: Birkhäuser Boston

Indexing

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Scopus - 0 Citations

Other information

Authenticus ID: P-00Y-YAV

DOI: 10.1007/s40314-023-02431-6

Abstract (EN): We introduce the notions of extended Menger probabilistic b -metric space and extended rectangular Menger probabilistic b -metric space. Thereafter, we obtain new fixed-point results for single-and multi-valued mappings in both spaces. Additionally, we present two applications, involving integral, and fractional differential, equations, proving the existence of solutions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16