Fixed Point Results in Soft Fuzzy Metric Spaces

Sonam, Ramakant Bhardwaj and Satyendra Narayan ()
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Sonam: Department of Mathematics, Amity Institute of Applied Sciences, Amity University Kolkata, Kolkata 700135, West Bengal, India
Ramakant Bhardwaj: Department of Mathematics, Amity Institute of Applied Sciences, Amity University Kolkata, Kolkata 700135, West Bengal, India
Satyendra Narayan: Department of Applied Computing, Sheridan Institute of Technology, Oakville, ON L6H 2L1, Canada

Mathematics, 2023, vol. 11, issue 14, 1-11

Abstract: The primary objective of the paper is to present the Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on the soft fuzzy metric between the soft points of the absolute soft set. A new altering distance function, namely the Ψ -contraction function, is introduced on soft fuzzy metric spaces, and some fixed point results are proven by considering soft mappings that comprise Ψ -contraction with the continuity of soft t-norm. In addition to that, some illustrations are supplied for the support of the established soft fuzzy Banach contraction theorem and fixed point results over Ψ -contraction mappings. The obtained results generalize and extend some well-known results present in the literature on fixed point theory.

Keywords: fixed point; soft metric space; soft fuzzy metric spaces; altering distance functions; contraction mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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