On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces

Manuel De la Sen; Mujahid Abbas; Naeem Saleem

doi:10.3390/math5020022

On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces

Manuel De la Sen
, Mujahid Abbas
, Naeem Saleem

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

17 Citations (Scopus)

Abstract

The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair (g, T) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p-cyclic proximal contraction. Two types of such contractions (so called of type I and of type II) are dealt with. In particular, the existence, uniqueness and limit properties for sequences to optimal fuzzy best proximity coincidence points are investigated for such pairs of mappings.

Original language	English
Article number	22
Journal	Mathematics
Volume	5
Issue number	2
DOIs	https://doi.org/10.3390/math5020022
Publication status	Published - 1 Jun 2017
Externally published	Yes

Keywords

Best proximity points
Fixed points
Fuzzy metric
Fuzzy set
Optimal fuzzy best proximity coincidence points
Proximal ψ-contractions of types I and II

ASJC Scopus subject areas

General Mathematics

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10.3390/math5020022

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title = "On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces",

abstract = "The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair (g, T) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p-cyclic proximal contraction. Two types of such contractions (so called of type I and of type II) are dealt with. In particular, the existence, uniqueness and limit properties for sequences to optimal fuzzy best proximity coincidence points are investigated for such pairs of mappings.",

keywords = "Best proximity points, Fixed points, Fuzzy metric, Fuzzy set, Optimal fuzzy best proximity coincidence points, Proximal ψ-contractions of types I and II",

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AU - De la Sen, Manuel

AU - Abbas, Mujahid

AU - Saleem, Naeem

PY - 2017/6/1

Y1 - 2017/6/1

N2 - The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair (g, T) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p-cyclic proximal contraction. Two types of such contractions (so called of type I and of type II) are dealt with. In particular, the existence, uniqueness and limit properties for sequences to optimal fuzzy best proximity coincidence points are investigated for such pairs of mappings.

AB - The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair (g, T) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p-cyclic proximal contraction. Two types of such contractions (so called of type I and of type II) are dealt with. In particular, the existence, uniqueness and limit properties for sequences to optimal fuzzy best proximity coincidence points are investigated for such pairs of mappings.

KW - Best proximity points

KW - Fixed points

KW - Fuzzy metric

KW - Fuzzy set

KW - Optimal fuzzy best proximity coincidence points

KW - Proximal ψ-contractions of types I and II

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DO - 10.3390/math5020022

M3 - Article

AN - SCOPUS:85029517846

SN - 2227-7390

VL - 5

JO - Mathematics

JF - Mathematics

IS - 2

M1 - 22

ER -

On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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