Results on Coincidence and Common Fixed Points for (ψ, φ)g-Generalized Weakly Contractive Mappings in Ordered Metric Spaces

Inspired by a metrical-fixed point theorem from Choudhury et al. (Nonlinear Anal. 2011, 74, 2116-2126), we prove some order-theoretic results which generalize several core results of the existing literature, especially the two main results of Harjani and Sadarangani (Nonlinear Anal. 2009, 71, 3403-3410 and 2010, 72, 1188-1197). We demonstrate the realized improvement obtained in our results by using a suitable example. As an application, we also prove a result for mappings satisfying integral type (psi, phi)(g)-generalized weakly contractive conditions.