Common fixed points of generalized contractions on partial metric spaces and an application

Calogero Vetro; Hassen Aydi; Bessem Samet; Ljubomir Ćirić

Common fixed points of generalized contractions on partial metric spaces and an application

Calogero Vetro, Hassen Aydi, Bessem Samet, Ljubomir Ćirić

Matematica e Informatica

Risultato della ricerca: Article › peer review

131 Citazioni (Scopus)

Abstract

In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun, F. Sola and H. Simsek [Generalized contractions on partial metric spaces, Topology and its applications 157 (18) (2010) 2778–2785]. As application, some homotopy results for operators on a set endowed with a partial metric are given.

Lingua originale	English
pagine (da-a)	2398-2406
Numero di pagine	9
Rivista	Applied Mathematics and Computation
Volume	218
Stato di pubblicazione	Published - 2011

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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abstract = "In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun, F. Sola and H. Simsek [Generalized contractions on partial metric spaces, Topology and its applications 157 (18) (2010) 2778–2785]. As application, some homotopy results for operators on a set endowed with a partial metric are given.",

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AU - Aydi, Hassen

AU - Samet, Bessem

AU - Ćirić, Ljubomir

PY - 2011

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AB - In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun, F. Sola and H. Simsek [Generalized contractions on partial metric spaces, Topology and its applications 157 (18) (2010) 2778–2785]. As application, some homotopy results for operators on a set endowed with a partial metric are given.

KW - Coincidence point

KW - Common fixed point

KW - Homotopy.

KW - Partial metric space

KW - Weakly compatible pair of mappings

KW - Coincidence point

KW - Common fixed point

KW - Homotopy.

KW - Partial metric space

KW - Weakly compatible pair of mappings

UR - http://hdl.handle.net/10447/60423

M3 - Article

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SP - 2398

EP - 2406

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

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