MEIR-KEELER TYPE CONTRACTIONS FOR TRIPLED FIXED POINTS

被引：19

作者：

Aydi, Hassen ^{[1
]}

Karapinar, Erdal ^{[2
]}

Vetro, Calogero ^{[3
]}

机构：

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

[2] Atilim Univ 06836, Dept Math, Ankara, Turkey

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

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 06期

关键词：

tripled fixed point theorems; Meir-Keeler type contractions; partially ordered sets; PARTIALLY ORDERED SETS; NONLINEAR CONTRACTIONS; METRIC-SPACES; THEOREMS;

D O I：

10.1016/S0252-9602(12)60164-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.

引用

页码：2119 / 2130

页数：12

共 17 条

[1] Generalized contractions in partially ordered metric spaces [J].

Agarwal, Ravi P. ;

El-Gebeily, M. A. ;

O'Regan, Donal .

APPLICABLE ANALYSIS, 2008, 87 (01) :109-116

[2]

Aydi H., 2011, INT J MATH ANAL, V5, P631

[3] Coupled fixed point results in cone metric spaces for (w)over-tilde-compatible mappings [J].

Aydi, Hassen ;

Samet, Bessem ;

Vetro, Calogero .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[4] 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

[5] Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces [J].

Berinde, Vasile ;

Borcut, Marin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) :4889-4897

[6] Fixed point theorems in partially ordered metric spaces and applications [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393

[7]

Karapinar E, 2011, GAZI U J SCI, V24, P51

[8] Couple fixed point theorems for nonlinear contractions in cone metric spaces [J].

Karapinar, Erdal .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (12) :3656-3668

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

Lakshmikantham, V. ;

Ciric, Ljubomir .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4341-4349

[10] Fixed point results for mappings satisfying (ψ, φ)-weakly contractive condition in partially ordered metric spaces [J].

Nashine, Hemant Kumar ;

Samet, Bessem .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) :2201-2209

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