Geodesic
Determining Fuzzy Distance Through Non-Self Fuzzy Contractions
Yugoslav journal of operations research, Tome 29 (2019) no. 3, p. 325 .

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In the present work we solve the problem of finding the fuzzy distance between two subsets of a fuzzy metric space for which we use a non-self fuzzy contraction mapping from one set to the other. It is a fuzzy extension of the proximity point problem which is by its nature a problem of global optimization. The contraction is defined here by two control functions. We define a geometric property of the fuzzy metric space. The main result is illustrated with an example. Our result extends a fuzzy version of the Banach contraction mapping principle.
Classification : 47H10, 54H25
Keywords: Fuzzy Metric Spaces, Global Optimization, Pproximity Point, Non-Self $(\phi - \psi)$ - Proximal Contraction, Optimal Approximate Solution, Fuzzy P-property. 
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     title = {Determining {Fuzzy} {Distance} {Through} {Non-Self} {Fuzzy} {Contractions}},
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Parbati Saha; Shantanu Guria; Binayak S. Choudhury. Determining Fuzzy Distance Through Non-Self Fuzzy Contractions. Yugoslav journal of operations research, Tome 29 (2019) no. 3, p. 325 . http://geodesic.mathdoc.fr/item/YJOR_2019_29_3_a2/