Fixed point theorems of soft contractive mappings
Murat I. Yazar, Cigdem Gunduz (Aras), Sadi Bayramov
TL;DR
This paper explores properties of soft metric spaces, introduces soft continuous mappings, and establishes fixed point theorems for soft contractive mappings, expanding the theoretical framework of soft analysis.
Contribution
It introduces the concept of soft continuous mappings and proves fixed point theorems for soft contractive mappings, advancing soft metric space theory.
Findings
Properties of soft metric spaces analyzed
Soft continuous mappings characterized
Fixed point theorems for soft contractive mappings proved
Abstract
The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems of soft contractive mappings on soft metric spaces.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fixed Point Theorems Analysis