Optimal approximate solution of coincidence point equations in fuzzy metric spaces

Naeem Saleem; Mujahid Abbas; Manuel De la Sen

doi:10.3390/math7040327

Optimal approximate solution of coincidence point equations in fuzzy metric spaces

Naeem Saleem, Mujahid Abbas, Manuel De la Sen

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Article number	327
Journal	Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.3390/math7040327
Publication status	Published - 1 Apr 2019
Externally published	Yes

Keywords

Fuzzy metric space
Optimal coincidence point
Proximal contraction
T-norm

ASJC Scopus subject areas

General Mathematics

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10.3390/math7040327

Cite this

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title = "Optimal approximate solution of coincidence point equations in fuzzy metric spaces",

abstract = "The purpose of this paper is to introduce αf -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, Optimal coincidence point, Proximal contraction, T-norm",

author = "Naeem Saleem and Mujahid Abbas and \{De la Sen\}, Manuel",

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doi = "10.3390/math7040327",

language = "English",

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T1 - Optimal approximate solution of coincidence point equations in fuzzy metric spaces

AU - Saleem, Naeem

AU - Abbas, Mujahid

AU - De la Sen, Manuel

PY - 2019/4/1

Y1 - 2019/4/1

N2 - The purpose of this paper is to introduce αf -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.

AB - The purpose of this paper is to introduce αf -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.

KW - Fuzzy metric space

KW - Optimal coincidence point

KW - Proximal contraction

KW - T-norm

UR - https://www.scopus.com/pages/publications/85066446840

U2 - 10.3390/math7040327

DO - 10.3390/math7040327

M3 - Article

AN - SCOPUS:85066446840

SN - 2227-7390

VL - 7

JO - Mathematics

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ER -

Optimal approximate solution of coincidence point equations in fuzzy metric spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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