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

Rqeeb Gubran and Mohammad Imdad
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Rqeeb Gubran: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Mohammad Imdad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2016, vol. 4, issue 4, 1-13

Abstract: 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.

Keywords: Keywords; fixed point; partially ordered metric space; weakly contractive; (ψ,φ) g -generalized weekly contractive; MSC (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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