A Examining Fuzzy Partial Metric Space and Associated Outcomes

Renu P. Pathak; Rohini R. Gore

doi:10.26713/cma.v16i2.3086

Authors

Renu P. Pathak Department of Mathematics, Sandip University, Nashik 422213, Maharashtra, India https://orcid.org/0000-0001-5310-3722 (unauthenticated)
Rohini R. Gore Department of Mathematics, Sandip University, Nashik 422213, Maharashtra, India https://orcid.org/0009-0001-9242-4120 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v16i2.3086

Keywords:

Fixed point theorem, Fuzzy sets, Fuzzy metric space, Partial metric space

Abstract

Using the concept of a PM space with fuzzy, it gives idea of a FPMS in this paper. A point’s self-distance in partial metric space does not always equal to zero. Ordinary metric is a subset of partial metric. Additionally, also define continuous t-norms. Partial fuzzy contraction mapping is defined here. It also demonstrates that, in certain circumstances, the complete partial metric space has a common fixed point through use of contraction mapping. Relevant examples are used as provide results.

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