Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations
In this paper, we consider some decreasing operators in ordered Banach spaces. We study the existence and uniqueness of fixed points and properties of the iterative sequences for these operators. Lastly, the results are applied to nonlinear second order elliptic equations. (C) 2009 Elsevier Ltd. All rights reserved.
fixed point decreasing operator ordered banach space iterative sequence