Global optimal solutions for proximal fuzzy contractions

Nawab Hussain, M.A. Kutbi and Peyman Salimi

Physica A: Statistical Mechanics and its Applications, 2020, vol. 551, issue C

Abstract: Best proximity point theorem furnishes sufficient conditions for the existence and computation of an approximate solution x that is optimal in the sense that the error d(x,Tx) assumes the global minimum value d(A,B). In the present paper, we initiate some new classes of proximal contraction mappings and obtain best proximity point theorems for such fuzzy mappings in a non-Archimedean fuzzy metric space. As outcomes of these theorems, we conclude evident new best proximity and fixed point theorems in non-Archimedean fuzzy metric spaces with partial order. Furthermore, we provide an example to elaborate the usability of the established results.

Keywords: Best approximate solution; α-proximal contraction; Non-Archimedean fuzzy metric space (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:551:y:2020:i:c:s0378437119321776

DOI: 10.1016/j.physa.2019.123925

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