Coupled Coincidence Point Results for Mixed (G,S)-Monotone Mapping and Applications

Authors

Habib Yazidi, Department of Mathematics, Tunis College of Sciences and Techniques, University of Tunis, 5 Avenue Taha Hussein, BP 59, Bab Mnara, Tunis, TunisiaFollow

Author Country (or Countries)

Tunisia

Abstract

We introduce the concept of mixed (G,S)-monotone mappings and prove coupled coincidence point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions. Presented theorems extend, improve and generalize the 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 the literature. As application, we present an existence theorem for solutions to a system of nonlinear integral equations.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080448

Recommended Citation

Yazidi, Habib (2014) "Coupled Coincidence Point Results for Mixed (G,S)-Monotone Mapping and Applications," Applied Mathematics & Information Sciences: Vol. 08: Iss. 4, Article 48.
DOI: http://dx.doi.org/10.12785/amis/080448
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss4/48