Abstract
Department of Mathematics, Tunis College of Sciences and Techniques, University of Tunis, 5 Avenue Taha Hussein, BP 59, BabMnara, Tunis, TunisiaReceived: 17 Aug. 2013, Revised: 19 Nov. 2013, Accepted: 20 Nov. 2013Published online: 1 Jul. 2014Abstract: We introduce the concept of mixed (G,S)-monotone mappings and prove coupled coincidence point theorems for suchmappings satisfying a nonlinear contraction involving altering distance functions. Presented theorems extend, improve and generalizethe recent results of Harjani, L´opez and Sadarangani [J. Harjani, B. L opez and K. Sadarangani, Fixed point theorems for mixed´monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and other existing results in theliterature. As application, we present an existence theorem for solutions to a system of nonlinear integral equations.Keywords: Coincidence point, (G,S)-monotone mapping, ordered set, altering distance, integral equations.
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