Generalized weak contractions in partially ordered metric spaces

被引：75
|
作者：
Radenovic, Stojan [2 ]
Kadelburg, Zoran [1 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Beograd 11000, Serbia
[2] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 06期
关键词：
Weak contraction; Partially ordered metric space; Common fixed point; FIXED-POINT THEOREMS; SETS;
D O I：
10.1016/j.camwa.2010.07.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recent results of Doric [D. Doric, Common fixed point for generalized (psi, phi)-weak contractions, Appl. Math. Lett. 22 (2009) 1896-1900] on generalized weakly contractive mappings are extended to the setting of partially ordered metric spaces. Thus, generalization of fixed point results of Harjani and Sadarangani [J. Harjani, K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal. 71 (2009) 3403-3410] is obtained. Some applications are presented. Examples are given to show that our results are proper generalizations of the existing ones. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1776 / 1783
页数：8
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