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

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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 fixed points 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 originaleEnglish
pagine (da-a)125-132
Numero di pagine8
RivistaRendiconti del Circolo Matematico di Palermo
Volume58
Stato di pubblicazionePublished - 2009

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Cone Metric Space
Common Fixed Point
Coincidence
Existence and Uniqueness
Generalise
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cita questo

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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 fixed points 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 = "Cone metric spaces; Weakly \varphi-pairs; Common fixed points; Coincidence points",
author = "Pasquale Vetro and {Di Bari}, Cristina",
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T1 - Weakly \varphi-pairs and common fixed points in cone metric spaces

AU - Vetro, Pasquale

AU - Di Bari, Cristina

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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 fixed points 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 fixed points 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 - Cone metric spaces; Weakly \varphi-pairs; Common fixed points; Coincidence points

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

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