Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

Mujahid Abbas; Naeem Saleem; Manuel De la Sen

doi:10.1186/s13663-016-0534-3

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

Mujahid Abbas
, Naeem Saleem
, Manuel De la Sen

University of Pretoria
National University of Computer and Emerging Sciences, Lahore
University of the Basque Country

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

24 Citations (Scopus)

Abstract

In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.

Original language	English
Article number	44
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13663-016-0534-3
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

fuzzy expansive
fuzzy metric space
fuzzy nonexpansive
fuzzy ordered proximal contractions
monotone fuzzy proximal contraction
s-increasing sequence
t-norm

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-016-0534-3

Cite this

@article{3ce8028483784233995717e8d9c02484,

title = "Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces",

abstract = "In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.",

keywords = "fuzzy expansive, fuzzy metric space, fuzzy nonexpansive, fuzzy ordered proximal contractions, monotone fuzzy proximal contraction, s-increasing sequence, t-norm",

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

note = "Publisher Copyright: {\textcopyright} 2016, Abbas et al.",

year = "2016",

month = dec,

day = "1",

doi = "10.1186/s13663-016-0534-3",

language = "English",

volume = "2016",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "1",

}

TY - JOUR

T1 - Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

AU - Abbas, Mujahid

AU - Saleem, Naeem

AU - De la Sen, Manuel

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.

AB - In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.

KW - fuzzy expansive

KW - fuzzy metric space

KW - fuzzy nonexpansive

KW - fuzzy ordered proximal contractions

KW - monotone fuzzy proximal contraction

KW - s-increasing sequence

KW - t-norm

UR - https://www.scopus.com/pages/publications/84962385229

U2 - 10.1186/s13663-016-0534-3

DO - 10.1186/s13663-016-0534-3

M3 - Article

AN - SCOPUS:84962385229

SN - 1687-1820

VL - 2016

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 44

ER -

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this