Title of article :
Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces
Author/Authors :
Kong ، Dezhou - Shandong Agricultural University , Liu ، Lishan - Qufu Normal University , Wu ، Yonghong - Curtin University of Technology
Abstract :
In this paper, we first discuss properties of the cone in normed product spaces. As applications, we then derive some coupled best approximation and coupled coincidence best approximation point results for discontinuous operators in partially ordered Banach spaces. Some of our results generalize those obtained in earlier work.
Keywords :
Coupled fixed point , best approximation , metric projection , discontinuous operator , mixed monotone , Banach space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
