Coupled coincidence point theorems for mixed (T, S)-monotone operators

Sidi Hamidou Jah

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.

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How to Cite this Article:

Sidi Hamidou Jah, Coupled coincidence point theorems for mixed (T, S)-monotone operators, J. Math. Comput. Sci., 4 (2014), 167-195

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.

 

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