COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE

Volume 3, Issue 2, pp 96-109 http://dx.doi.org/10.22436/jnsa.003.02.03

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Authors

SHOBHA JAIN - Quantum School of Technology, Roorkee (U.K), India. SHISHIR JAIN - Shri Vaishnav Institute of Technology and Science, Indore (M.P.), India. LAL BAHADUR JAIN - Retd. Principal, Govt. Arts and Commerce College , Indore (M.P.), India.

Abstract

The object of this paper is to establish unique common fixed point theorems for four self maps satisfying a new contractive condition in a modified intuitionistic fuzzy metric space through compatibility of type (P). A generalization of a result of D Turkoglu et al [J. Apply. Math. Computing (2006)] in the setting of a modified intuitionistic fuzzy metric space follows from them. Modified intuitionistic fuzzy version of Grabiec contraction Principle has also been established. All the results presented in this paper are new. Examples have been constructed in support of the main results of this paper.

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Keywords

• Modified intuitionistic fuzzy metric space
• common fixed points
• compatible maps of type (P)
• weak compatible maps
• t-norm
• t-conorm.

MSC

•  54H25
•  47H10

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