Multidimensional fixed point theorems in partially ordered complete metric spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Roldan, A.¹  Martinez-Moreno, J.¹  Roldan, C.¹ 

[1] Univ Jaen, Jaen, Spain

关键词: Metric space;    Fixed point theorem;    Coincidence point;    Mixed monotone property;   

DOI  :  10.1016/j.jmaa.2012.06.049

来源: Elsevier

【 摘 要 】

In this paper we propose a notion of coincidence point between mappings in any number of variables and we prove some existence and uniqueness fixed point theorems for nonlinear mappings verifying different kinds of contractive conditions and defined on partially ordered metric spaces. These theorems extend and clarify very recent results that can be found in [T. Gnana-Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7)(2006) 1379-1393], [V. Berinde, M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 4889-4897] and [M. Berzig, B. Samet, An extension of coupled fixed point's concept in higher dimension and applications, Comput. Math. Appl. 63 (8) (2012) 1319-1334]. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free