Multidimensional fixed point theorems under (ψ, φ)-contractive conditions in partially ordered complete metric spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:273

Article

Roldan, A.¹  Martinez-Moreno, J.¹  Roldan, C.²  Cho, Y. J.^3,4 

[1] Univ Jaen, Dept Math, Jaen 23071, Spain

[2] Univ Granada, Dept Stat & Operat Res, E-18071 Granada, Spain

[3] Gyeongsang Natl Univ, Dept Math Educ & RINS, Gyeongsangnam Do, South Korea

[4] King Abdulaziz Univ, Dept Math, Jeddah 21413, Saudi Arabia

关键词: Metric space;    Coincidence point;    Fixed point;    Contraction;    Mixed monotone property;    Partially ordered set;   

DOI  :  10.1016/j.cam.2014.05.022

来源: Elsevier

【 摘 要 】

In this paper, we study the existence and uniqueness of coincidence points for nonlinear mappings of any number of arguments under a weak (psi, phi)-contractive condition. Our results generalize, extend and unify several classical and very recent related results in the literature (see Aydi et al. (2011), Berinde (2010), Gnana-Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapinar and Luong (2012), Lakshmikantham and Ciric (2009), Luong and Thuan (2011), Roldan (2012)). (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

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