On Fixed Point theorems in Fuzzy 2-Metric Spaces and Fuzzy 3-Metric Spaces

Shailesh T. Patel, Ramakant Bhardwaj, Neena Vijayvargiya, Shyam Patkar

Abstract


In this paper, we give some new definitions of compatible mappings of types (I) and  (II) in fuzzy-2 metric space and fuzzy-3 metric space prove some common  fixed point theorems  for mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy-2 metric space and fuzzy-3 metric space. Our results extend, generalize and improve the corresponding results given by many authors.

Keywords: Fuzzy metric space, Fuzzy 2-metric space, fuzzy-3 metric space ,Compatible mappings, Common fixed point.


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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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