... Nonlinear Functional Analysis, Shandong Science and Technology Press, Jinan, China, 2004.11 D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, vol. 5 of Notes and Reports in Mathematics ... c> ;a/ γsuch that A mapsPcinto Pc.Now we show that {u ∈ Pβ, a, a/ γ : βu > ;a} / ∅ and βAu >afor all u ∈Pβ, a, a/ γ. In fact, take xt ≡ a a/ γ/2 > ;a, sox ∈{u ∈ Pβ, a, a/ γ : ... in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.12 R. W. Leggett and L. R. Williams, Multiple positive fixed points of nonlinear operators on orderedBanach...