Mathematical Theory and Modeling
Generalized Fixed Point Theorems for Compatible Mapping in Fuzzy 2-Metric Space for Integral Type Mapping
Abstract
In this paper, we give some new definitions of compatible mappings of types (I) and (II) in fuzzy-2 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-2 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 2-metric space, Compatible mappings, Common fixed point.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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