The Existence of Multiple Fixed Points for the Sum of Two Operators and Applications
نویسندگان
چکیده
In this paper, by means of τ -φ-concave (convex) operators, the existence of two positive fixed points for some nonlinear operators is considered. In particular, the fixed point theorems of the sum of a φ1-concave operator and a φ2-convex operator are obtained, our tools are based on the properties of cones and the fixed point theorem of cone expansion and compression. Our abstract results are applied to superlinear second-order multi-point boundary value problems.
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