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

摘要

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 ( ψ , φ ) g -generalized weakly contractive conditions.