Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

Şuara Onbaşıoğlu and Banu Pazar Varol ()
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Şuara Onbaşıoğlu: Department of Mathematics, Kocaeli University, 41001 Kocaeli, Turkey
Banu Pazar Varol: Department of Mathematics, Kocaeli University, 41001 Kocaeli, Turkey

Mathematics, 2023, vol. 11, issue 8, 1-15

Abstract: The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.

Keywords: intuitionistic fuzzy set; metric-like spaces; intuitionistic fuzzy metric-like spaces; fixed-point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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