Stability of fixed points set of fuzzy contractions

H. Román-Flores; A. Flores-Franulic; M. Rojas-Medar; R. C. Bassanezi

doi:10.1016/S0893-9659(98)00052-4

Stability of fixed points set of fuzzy contractions

H. Román-Flores
, A. Flores-Franulic
, M. Rojas-Medar
, R. C. Bassanezi

Universidad de Tarapacá
Universidade Estadual de Campinas

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

18 Scopus citations

Abstract

In this paper, we define the fuzzy fixed points set of a fuzzy contraction mapping, we study some properties, and we prove a stability result in relation to the uniform convergence.

Original language	English
Pages (from-to)	33-37
Number of pages	5
Journal	Applied Mathematics Letters
Volume	11
Issue number	4
DOIs	https://doi.org/10.1016/S0893-9659(98)00052-4
State	Published - Jul 1998
Externally published	Yes

Keywords

Contractions
Fixed points
Fuzzy sets
Uniform convergence

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10.1016/S0893-9659(98)00052-4

Cite this

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title = "Stability of fixed points set of fuzzy contractions",

abstract = "In this paper, we define the fuzzy fixed points set of a fuzzy contraction mapping, we study some properties, and we prove a stability result in relation to the uniform convergence.",

keywords = "Contractions, Fixed points, Fuzzy sets, Uniform convergence",

author = "H. Rom{\'a}n-Flores and A. Flores-Franulic and M. Rojas-Medar and Bassanezi, \{R. C.\}",

year = "1998",

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language = "English",

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T1 - Stability of fixed points set of fuzzy contractions

AU - Román-Flores, H.

AU - Flores-Franulic, A.

AU - Rojas-Medar, M.

AU - Bassanezi, R. C.

PY - 1998/7

Y1 - 1998/7

N2 - In this paper, we define the fuzzy fixed points set of a fuzzy contraction mapping, we study some properties, and we prove a stability result in relation to the uniform convergence.

AB - In this paper, we define the fuzzy fixed points set of a fuzzy contraction mapping, we study some properties, and we prove a stability result in relation to the uniform convergence.

KW - Contractions

KW - Fixed points

KW - Fuzzy sets

KW - Uniform convergence

UR - https://www.scopus.com/pages/publications/0039049319

U2 - 10.1016/S0893-9659(98)00052-4

DO - 10.1016/S0893-9659(98)00052-4

M3 - Article

AN - SCOPUS:0039049319

SN - 0893-9659

VL - 11

SP - 33

EP - 37

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

Stability of fixed points set of fuzzy contractions

Abstract

Keywords

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