Fixed point theorems for α-ψ-contractive type mappings

被引：994
作者：
Samet, Bessem [2 ]
Vetro, Calogero [1 ]
Vetro, Pasquale [1 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
[2] Univ Tunis, Ecole Super Sci & Tech Tunis, Bab Menara 1008, Tunisia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期
关键词：
Fixed point; Coupled fixed point; Contractive mapping; PARTIALLY ORDERED SETS; GENERALIZED CONTRACTIONS; NONLINEAR CONTRACTIONS; METRIC-SPACES;
D O I：
10.1016/j.na.2011.10.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new concept of alpha-psi-contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the Banach contraction principle, the presented theorems extend, generalize and improve many existing results in the literature. Moreover, some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2154 / 2165
页数：12
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