Optimal coincidence best approximation solution in non-Archimedean fuzzy metric spaces

Loading...
Thumbnail Image

Date

Authors

Saleem, N.
Abbas, Mujahid
Raza, Z.

Journal Title

Journal ISSN

Volume Title

Publisher

University of Sistan and Baluchestan

Abstract

In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuzzy metric spaces and famous Banach contraction principle.

Description

Keywords

Fuzzy metric space, Optimal approximate solution, Fuzzy proximal contraction, Fuzzy expansive, Fuzzy isometry, s-Increasing sequence, t-Norm

Sustainable Development Goals

Citation

Salkeem, N, Abbas, M & Raza, Z 2016, 'Optimal coincidence best approximation solution in non-Archimedean fuzzy metric spaces', Iranian Journal of Fuzzy Systems, vol. 13, no. 3, pp. 113-124.