Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ( ψ , φ )-Contractivity Conditions

Abstract

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ($\psi , \phi$)-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), 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), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).