### Generalizations of Krasnoselskiĭ's fixed point theorem in cones and applications

#### Abstract

We give some generalizations of Krasnosel'skiĭ's fixed point theorem in cones,

replacing norms with functionals. We will apply these theorems to obtain at

least one positive solution for the boundary value problems for second-order

differential equations.

Two positive solution results are also obtained.

replacing norms with functionals. We will apply these theorems to obtain at

least one positive solution for the boundary value problems for second-order

differential equations.

Two positive solution results are also obtained.

#### Keywords

Cone; fixed point; boundary values problem

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