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

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
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Academic Editor: Pasquale Vetro
Mathematics 2016, 4(4), 68; https://doi.org/10.3390/math4040068
Received: 19 October 2016 / Revised: 22 November 2016 / Accepted: 22 November 2016 / Published: 10 December 2016
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. View Full-Text
Keywords: Keywords; fixed point; partially ordered metric space; weakly contractive; (ψ,φ)g-generalized weekly contractive; MSC Keywords; fixed point; partially ordered metric space; weakly contractive; (ψ,φ)g-generalized weekly contractive; MSC
MDPI and ACS Style

Gubran, R.; Imdad, M. Results on Coincidence and Common Fixed Points for (ψ,φ)g-Generalized Weakly Contractive Mappings in Ordered Metric Spaces. Mathematics 2016, 4, 68.

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