Fixed Point Results in Modified Intuitionistic Fuzzy Soft Metric Spaces with Application

Vishal Gupta, Aanchal Gondhi and Rahul Shukla ()
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Vishal Gupta: Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India
Aanchal Gondhi: Department of Mathematics, M.D.S.D. College, Ambala City 134003, Haryana, India
Rahul Shukla: Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

Mathematics, 2024, vol. 12, issue 8, 1-11

Abstract: This paper establishes a new type of space, modified intuitionistic fuzzy soft metric space (MIFSMS). Basic properties and topological structures are defined in the setting of this new notion with valid examples. Moreover, we have given some new results along with suitable examples to show their validity. An application for finding the solution of an integral equation is also given by utilizing our newly developed results.

Keywords: soft set; modified intuitionistic fuzzy metric space; Cauchy sequence; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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