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Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations. (English) Zbl 1191.47075
Summary: 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.

47H10Fixed-point theorems for nonlinear operators on topological linear spaces
47H07Monotone and positive operators on ordered topological linear spaces
47N20Applications of operator theory to differential and integral equations
35J61Semilinear elliptic equations
Full Text: DOI
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