On bounded solutions of nonlinear ordinary differential equations
Moses A. Boudourides (1981)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Fixed Point Theorems of the Banach and Krasnosel’skii Type for Mappings on -tuple Cartesian Product of Banach Algebras and Systems of Generalized Gripenberg’s Equations”
On bounded solutions of nonlinear ordinary differential equations
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
Giovanni Emmanuele (1994)
Czechoslovak Mathematical Journal
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Existence criteria for integral equations in Banach spaces.
O'Regan, Donal, Precup, Radu (2001)
Journal of Inequalities and Applications [electronic only]
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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 -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].