Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces

Naeem Saleem, Mujahid Abbas and Manuel De la Sen
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Naeem Saleem: Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore 54000, Pakistan
Mujahid Abbas: Department of Mathematics, Government College University, Lahore 54000, Pakistan
Manuel De la Sen: Institute of Research and Development of Processes IIDP, Faculty of Science and Technology, University of the Basque Country, P.O. Box 644 de Bilbao, Barrio Sarriena, 48940 Leioa (Bizkaia), Spain

Mathematics, 2019, vol. 7, issue 4, 1-13

Abstract: The purpose of this paper is to introduce α f -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.

Keywords: fuzzy metric space; t-norm; optimal coincidence point; proximal contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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