Generalized Fixed Point Theorems for Compatible Mapping in Fuzzy 3-Metric Space for Integral Type Mapping

Rasik M. Patel, Ramakant Bhardwaj

Abstract


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

2010 Mathematics Subject Classification: Primary 47H10, 54H25.

Key words and phrases: Fuzzy metric space, Fuzzy 3-metric space, Weak-Compatible mappings, Common fixed point.

 


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

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