Fixed point theory for cyclic weak ϕ-contraction in fuzzy metric spaces

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Abstract

In this paper, we introduce cyclic weak ϕ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.
Lingua originaleEnglish
pagine (da-a)1-11
Numero di pagine11
RivistaJOURNAL OF NONLINEAR ANALYSIS AND APPLICATION
Volume2012
Stato di pubblicazionePublished - 2012

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Fuzzy Metric Space
Fixed Point Theory
Contraction
Existence and Uniqueness
Fixed point

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title = "Fixed point theory for cyclic weak ϕ-contraction in fuzzy metric spaces",
abstract = "In this paper, we introduce cyclic weak ϕ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.",
keywords = "Fuzzy metric space, cyclic representation, cyclic weak ϕ-contraction, non-Archimedean fuzzy metric space",
author = "Calogero Vetro",
year = "2012",
language = "English",
volume = "2012",
pages = "1--11",
journal = "JOURNAL OF NONLINEAR ANALYSIS AND APPLICATION",
issn = "2193-3472",

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T1 - Fixed point theory for cyclic weak ϕ-contraction in fuzzy metric spaces

AU - Vetro, Calogero

PY - 2012

Y1 - 2012

N2 - In this paper, we introduce cyclic weak ϕ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

AB - In this paper, we introduce cyclic weak ϕ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

KW - Fuzzy metric space

KW - cyclic representation

KW - cyclic weak ϕ-contraction

KW - non-Archimedean fuzzy metric space

UR - http://hdl.handle.net/10447/62253

UR - http://www.ispacs.com/journals/jnaa/2012/jnaa-00110/

M3 - Article

VL - 2012

SP - 1

EP - 11

JO - JOURNAL OF NONLINEAR ANALYSIS AND APPLICATION

JF - JOURNAL OF NONLINEAR ANALYSIS AND APPLICATION

SN - 2193-3472

ER -