Multiplicative modular metric spaces and some fixed point results

Kaplan E., Tas N., Haque S., Mlaiki N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2025, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2025 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1186/s13660-025-03303-9
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

This study aims to introduce a novel type of metric, defined as the w-multiplicative modular metric space, which becomes an expanded idea that includes two metric spaces. We present and demonstrate some of this new space's topological properties. We also prove the Banach and Kannan contraction mapping theorems. Finally, the applicability of the obtained results is also examined.