Approximate Best Proximity Pairs in Fuzzy Normed Spaces for Contraction Maps

S. A. M. Mohsenailhosseini

doi:10.9734/JAMCS/2018/16241

Research Article Open access CC BY 4.0

Approximate Best Proximity Pairs in Fuzzy Normed Spaces for Contraction Maps

S. A. M. Mohsenailhosseini

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 6 Nov 2018

10.9734/JAMCS/2018/16241

Abstract

We define approximate best proximity pair and diameter approximate best proximity pair in fuzzy normed spaces. Two general lemmas are given regarding approximate best proximity pair of operators on fuzzy normed spaces. Using these results we prove theorems for various types of well known generalized contractionson on fuzzy normed spaces.

Fuzzy normed spasc fuzzy approximate best proximity pair diameter fuzzy approximate best proximity pair

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S. A. M. Mohsenailhosseini (2018). Approximate Best Proximity Pairs in Fuzzy Normed Spaces for Contraction Maps. Journal of Advances in Mathematics and Computer Science , 1–15. https://doi.org/10.9734/JAMCS/2018/16241

Affiliations

S. A. M. Mohsenailhosseini — Faculty of Mathematics, Vali-e-Asr University, Rafsanjan, Iran and Faculty of Mathematics, Yazd University, Yazd, Iran.

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