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We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.

Let K be a closed convex subset of a Hilbert space H and T : K ⊸ K a non-expansive multivalued map with a unique fixed point z such that {z} = T (z). It is shown that we can construct a sequence of approximating fixed points sets converging in the sense of Mosco to z. Let H be a Hilbert space, K a closed convex subset of H, T a multivalued nonexpansive map… (More)

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