Open access

DOI: 10.24193/fpt-ro.2017.2.33

Authors: Aftab Alam and Mohammad Imdad

Abstract: In this paper, with a view to improve the g-monotonicity condition, we introduce the notion of g-comparability of a mapping defined on an ordered set and utilize the same to prove some existence and uniqueness results on coincidence points for linear contraction without g-monotonicity in ordered metric spaces. Our results extend some classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. 132(2004), no.5, 1435-1443), Nieto and Rodríguez-López (Acta Math. Sin. 23(2007), no.12, 2205-2212), Turinici (Libertas Math. 31(2011), 49-55), Turinici (Math. Student 81(2012), no.1-4, 219-229) and Dorić et al. (RACSAM 108(2014), no.2, 503-510) and similar others.

Key Words and Phrases: Ordered metric space, g-monotone mappings, comparable mappings, TCC property, termwise monotone sequence.

2010 Mathematics Subject Classification: 47H10, 54H25.

Published on-line: June 1st, 2017.

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