Exploring soft super metric spaces and their fixed soft points

Gunduz C. A., Bayramov S., COŞKUN A.

Maejo International Journal of Science and Technology, vol.19, no.3, pp.249-260, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 3
  • Publication Date: 2025
  • Journal Name: Maejo International Journal of Science and Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), CAB Abstracts, Communication Abstracts, Metadex, Veterinary Science Database, Directory of Open Access Journals, Civil Engineering Abstracts
  • Page Numbers: pp.249-260
  • Keywords: fixed point theorems, soft super metric spaces, weakly compatible mappings
  • Kocaeli University Affiliated: Yes

Abstract

This paper introduces and examines the concept of soft super metric spaces, which combines the framework of soft set theory with the properties of super metric spaces. We establish fundamental definitions and properties of soft super metric spaces, and present several fixed point theorems for self-soft mappings on complete soft super metric spaces. The main results include theorems establishing the existence and uniqueness of fixed soft points for soft contraction mappings and surjective soft mappings. Additionally, we prove fixed point theorems for weakly compatible mappings under various conditions. These results extend classical fixed point theory to accommodate uncertainty and parameterisation through the soft set framework.