Displaying similar documents to “On some nonlinear alternatives of Leray-Schauder type and functional integral equations”

Furi–Pera fixed point theorems in Banach algebras with applications

Smaïl Djebali, Karima Hammache (2008)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is 𝒟 -Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17].