Coupled coincidence point theorems for mixed (T, S)-monotone operators
Abstract
The purpose of this paper is to prove the existence and uniqueness of coupled coincidence points involving a new-contraction mapping condition for a mixed (T,S)-monotone mapping in a complete partially ordered G-metric spaces. As an application, we give an existence and uniqueness for the solution of an initial-boundary value problem. The results obtained extend and generalize some results in the literature.
Copyright © 2014 Sidi Hamidou Jah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. H. Jah, Coupled coincidence point theorems for mixed (T, S)-monotone operators, J. Math. Comput. Sci. 4 (2014), 167–195.
BibTeX
@article{Jah2014,
author = {Jah, Sidi Hamidou},
title = {Coupled coincidence point theorems for mixed (T, S)-monotone operators},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {167--195},
doi = {}
}