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Mathematics 2019, 7(4), 327; https://doi.org/10.3390/math7040327

Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces

1
Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore 54000, Pakistan
2
Department of Mathematics, Government College University, Lahore 54000, Pakistan
3
Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa
4
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
*
Authors to whom correspondence should be addressed.
Received: 28 February 2019 / Revised: 26 March 2019 / Accepted: 29 March 2019 / Published: 3 April 2019
(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
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PDF [757 KB, uploaded 3 April 2019]

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. View Full-Text
Keywords: fuzzy metric space; t-norm; optimal coincidence point; proximal contraction fuzzy metric space; t-norm; optimal coincidence point; proximal contraction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Saleem, N.; Abbas, M.; Sen, M.D. Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces. Mathematics 2019, 7, 327.

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