Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations

Authors:
Zengqin Zhao;Xiangping Chen
Affiliations:
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China;Department of Mathematics, Jining University, Jining, Shandong 272000, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

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.