A Study Of Fuzzy Metric Space

  Swati Balkrishna Kurdekar

The aim of this paper is to introduce some characterization of various fuzzy bounded sets in fuzzy metric spaces & some fixed-point theorems for multi valued mappings are also defined. The original concept of a KM-fuzzy metric—we call this modification by a GV-fuzzy metric. This modification allows many natural examples of fuzzy metrics, in particular, fuzzy metrics constructed from metrics. GV-fuzzy metrics appear to be more appropriate also for the study of induced topological structures. Along with the principal interest of many researchers in the theoretical aspects of the theory of fuzzy metrics—in particular, the topological and sequential properties of fuzzy metric spaces, their completeness, fixed points of mappings, etc.—fuzzy metrics have also aroused interest among specialists working in various applied areas of mathematics. Among others, fuzzy metrics have been used in decision making problems with uncertain and imprecise information and other engineering problems.

Keywords- fuzzy set, fuzzy metric space, continuous t-norm, fixed point theorems ,Cauchy sequence

Unique Identification Number - IJEDR1903032
Page Number(s) - 186-188
Pubished in - Volume 7 | Issue 3 | July 2019
DOI (Digital Object Identifier) -   
Publisher - IJEDR (ISSN - 2321-9939)

  Swati Balkrishna Kurdekar,   "A Study Of Fuzzy Metric Space", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.7, Issue 3, pp.186-188, July 2019, Available at :http://www.ijedr.org/papers/IJEDR1903032.pdf