Fixed point theorems for α-ψ-contractive type mappings

被引：1032
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
相关论文
共 34 条
[1]   Common coupled fixed point theorems in cone metric spaces for w-compatible mappings [J].
Abbas, M. ;
Khan, M. Ali ;
Radenovic, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) :195-202
[2]   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
[3]   Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].
Altun, Ishak ;
Simsek, Hakan .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[4]   Some fixed point theorems on ordered cone metric spaces [J].
Altun I. ;
Durmaz G. .
Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) :319-325
[5]  
Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[6]   Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces [J].
Beg, Ismat ;
Butt, Asma Rashid .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) :3699-3704
[7]   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
[8]   Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations [J].
Caballero, J. ;
Harjani, J. ;
Sadarangani, K. .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[9]   Fixed-Point Results for Generalized Contractions on Ordered Gauge Spaces with Applications [J].
Chifu, Cristian ;
Petrusel, Gabriela .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[10]   A coupled coincidence point result in partially ordered metric spaces for compatible mappings [J].
Choudhury, Binayak S. ;
Kundu, Amaresh .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) :2524-2531
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