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

Sorin Budişan

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.

Keywords


Cone; fixed point; boundary values problem

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