|
|
|
|
|
Coupled Coincidence Point Results for Mixed (G,S)-Monotone Mapping and Applications |
|
PP: 1901-1909 |
|
Author(s) |
|
Habib Yazidi,
|
|
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. |
|
|
|
|
|