Weakly \varphi-pairs and common fixed points in cone metric spaces

Cristina Di Bari; Pasquale Vetro

Weakly \varphi-pairs and common fixed points in cone metric spaces

Cristina Di Bari, Pasquale Vetro

Matematica e Informatica

Risultato della ricerca: Article › peer review

52 Citazioni (Scopus)

Abstract

In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common ﬁxedpoints for such mappings. Also we obtain a result on points of coincidence.These results extend and generalize well-known comparable results in the literature.

Lingua originale	English
pagine (da-a)	125-132
Numero di pagine	8
Rivista	Rendiconti del Circolo Matematico di Palermo
Volume	58
Stato di pubblicazione	Published - 2009

All Science Journal Classification (ASJC) codes

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abstract = "In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common ﬁxedpoints for such mappings. Also we obtain a result on points of coincidence.These results extend and generalize well-known comparable results in the literature.",

keywords = "Coincidence points, Common ﬁxed points, Cone metric spaces, Weakly \varphi-pairs, Coincidence points, Common ﬁxed points, Cone metric spaces, Weakly \varphi-pairs",

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T1 - Weakly \varphi-pairs and common fixed points in cone metric spaces

AU - Di Bari, Cristina

AU - Vetro, Pasquale

PY - 2009

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N2 - In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common ﬁxedpoints for such mappings. Also we obtain a result on points of coincidence.These results extend and generalize well-known comparable results in the literature.

AB - In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common ﬁxedpoints for such mappings. Also we obtain a result on points of coincidence.These results extend and generalize well-known comparable results in the literature.

KW - Coincidence points

KW - Common ﬁxed points

KW - Cone metric spaces

KW - Weakly \varphi-pairs

KW - Coincidence points

KW - Common ﬁxed points

KW - Cone metric spaces

KW - Weakly \varphi-pairs

UR - http://hdl.handle.net/10447/40165

M3 - Article

VL - 58

SP - 125

EP - 132

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

SN - 0009-725X

ER -