MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES

Title & Authors
MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES

Abstract
In this paper, we prove some existence and uniqueness results on coincidence points for g-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. 132 (2004), no. 5, 1435-1443) and Nieto and $\small{Rodr{\acute{i}}guez}$-$\small{L{\acute{o}}pez}$ (Acta Math. Sin. 23 (2007), no. 12, 2205-2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.
Keywords
ordered metric space;TCC property;termwise monotone sequence;c-bound;
Language
English
Cited by
1.
Results on Coincidence and Common Fixed Points for (ψ,φ)g-Generalized Weakly Contractive Mappings in Ordered Metric Spaces, Mathematics, 2016, 4, 4, 68
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