Optimal approximate solution of coincidence point equations in fuzzy metric spaces

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Saleem, Naeem
Abbas, Mujahid
De la Sen., Manuel

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MDPI Open Access Journals

Abstract

The purpose of this paper is to introduce af -proximal H-contraction of the first and second kind in the setup of complete fuzzy metric space and to obtain optimal coincidence point results. The obtained results unify, extend and generalize various comparable results in the literature. We also present some examples to support the results obtained herein.

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Keywords

Fuzzy metric space, t-norm, Optimal coincidence point, Proximal contraction

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Citation

Saleem, N., Abbas, M. & De la Sen, M. 2019, 'Optimal approximate solution of coincidence point equations in fuzzy metric spaces', Mathematics, vol. 7, no. 4, art. a327, pp. 1-13.