On generalized weakly G-contraction mapping in G-metric spaces

被引：111

作者：

Aydi, Hassen ^{[2
]}

Shatanawi, Wasfi ^{[1
]}

Vetro, Calogero ^{[3
]}

机构：

[1] Hashemite Univ, Dept Math, Zarqa 13115, Jordan

[2] Univ Monastir, Inst Super Informat Mahdia, Mahdia 5121, Tunisia

[3] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 11期

关键词：

Common fixed point; Generalized weakly G-contraction; Generalized metric spaces; FIXED-POINT THEOREMS;

D O I：

10.1016/j.camwa.2011.10.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some common fixed point results for two self-mappings f and g on a generalized metric space X. To prove our results we assume that f is a generalized weakly G-contraction mapping of types A and B with respect to g. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4222 / 4229

页数：8

共 26 条

[1] Common fixed point results for noncommuting mappings without continuity in generalized metric spaces [J].

Abbas, M. ;

Rhoades, B. E. .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) :262-269

[2] Coupled common fixed point results in two generalized metric spaces [J].

Abbas, Mujahid ;

Khan, Abdul Rahim ;

Nazir, Talat .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6328-6336

[3] Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces [J].

Aydi, Hassen ;

Damjanovic, Bosko ;

Samet, Bessem ;

Shatanawi, Wasfi .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) :2443-2450

[4]

Choudhury B. S., 2009, Khatmandu University J. Sci. Tech., V1, P6, DOI [10.3126/kuset.v5i1.2842, DOI 10.3126/KUSET.V5I1.2842]

[5] Coupled fixed point results in generalized metric spaces [J].

Choudhury, Binayak S. ;

Maity, Pranati .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) :73-79

[6]

Chugh R, 2010, FIXED POINT THEORY A, DOI 10.1155/2010/401684

[7]

Dhage B.C., 1992, Bull. Cal. Math. Soc., V84, P329

[8]

Gahler S., 1966, REV ROUM MATH PURES, V11, P665

[9]

Gahler S., 1964, Math. Nachr., V26, P115, DOI [DOI 10.1002/MANA.19630260109, 10.1002/mana.19630260109]

[10] A FIXED POINT RESULT FOR MAPPINGS WITH CONTRACTIVE ITERATE AT A POINT IN G-METRIC SPACES [J].

Gajic, Ljiljana ;

Lozanov-Crvenkovic, Zagorka .

FILOMAT, 2011, 25 (02) :53-58

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