Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces

被引：42

作者：

Nashine, Hemant Kumar ^{[1
]}

Kadelburg, Zoran ^{[2
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India

[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

[3] Univ Belgrade, Fac Mech Engn, Beograd 11000, Serbia

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 9-10期

关键词：

Fixed point; Common fixed point; Partial metric space; Weakly increasing mapping; Weakly isotone increasing mappings; Partially ordered set; GENERALIZED CONTRACTIONS; SETS;

D O I：

10.1016/j.mcm.2011.12.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Common fixed point theorems for T - weakly isotone increasing mappings satisfying a generalized contractive type condition under a continuous function phi : [0, +infinity) -> [0,+infinity) with phi(t) < t for each t > 0 and phi(0) = 0 in complete ordered partial metric spaces are proved. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2355 / 2365

页数：11

共 27 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] Generalized contractions on partial metric spaces (vol 157, pg 2778, 2010) [J].

Altun, I. ;

Sadarangani, K. .

TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (13) :1738-1740

[3]

Altun I., 2008, J. Adv. Math. Stud., V1, P1

[4] Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces [J].

Altun, Ishak ;

Erduran, Ali .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[5] Generalized contractions on partial metric spaces [J].

Altun, Ishak ;

Sola, Ferhan ;

Simsek, Hakan .

TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) :2778-2785

[6] Fixed point and common fixed point theorems on ordered cone metric spaces [J].

Altun, Ishak ;

Damjanovic, Bosko ;

Djoric, Dragan .

APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316

[7]

Aydi H., 2011, J NONLINEAR IN PRESS

[8] Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces [J].

Ciric, Ljubomir ;

Cakic, Nenad ;

Rajovic, Miloje ;

Ume, Jeong Sheok .

FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)

[9] PCF extended with real numbers [J].

Escardo, MH .

THEORETICAL COMPUTER SCIENCE, 1996, 162 (01) :79-115

[10] Fixed point theorems for weakly contractive mappings in partially ordered sets [J].

Harjani, J. ;

Sadarangani, K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :3403-3410

← 1 2 3 →