Bibliographic Details
| Title: |
Multidimensional fixed point theorems under (ψ,φ)-contractive conditions in partially ordered complete metric spaces. |
| Authors: |
Roldán, A.1, Martínez-Moreno, J.1 jmmoreno@ujaen.es, Roldán, C.2, Cho, Y. J.3 |
| Source: |
Journal of Computational & Applied Mathematics. Jan2015, Vol. 273, p76-87. 12p. |
| Subjects: |
Fixed point theory, Partially ordered spaces, Metric spaces, Existence theorems, Uniqueness (Mathematics), Nonlinear theories, Mathematical mappings |
| Abstract: |
In this paper, we study the existence and uniqueness of coincidence points for nonlinear mappings of any number of arguments under a weak (ψ,φ) -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), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), Roldán (2012)). [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
