Geodesic
Invariant approximation for fuzzy nonexpansive mappings
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 51-59.

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We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all {$t$-best} approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric space is proved. Our results extend, generalize and unify various known results in the existing literature.
DOI : 10.21136/MB.2011.141449
Classification : 41A50, 41A65, 46S40, 47H09, 47H10, 54H25
Keywords: fuzzy normed space; strictly convex fuzzy normed space; fixed point; fuzzy nonexpansive mapping; fuzzy best approximation; fuzzy Banach mapping 
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Beg, Ismat; Abbas, Mujahid. Invariant approximation for fuzzy nonexpansive mappings. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 51-59. doi : 10.21136/MB.2011.141449. http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141449/

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