Geodesic
Furi–Pera fixed point theorems in Banach algebras with applications
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 47 (2008) no. 1, pp. 55-75 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 ${\mathcal D}$-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].
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 ${\mathcal D}$-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].
Classification : 46Hxx, 46J10, 47H09, 47H10, 47H30, 47J25, 54H25
Keywords: banach algebra; Furi–Pera condition; fixed point theorem; measure of noncompactness; integral equations 
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Djebali, Smaïl; Hammache, Karima. Furi–Pera fixed point theorems in Banach algebras with applications. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 47 (2008) no. 1, pp. 55-75. http://geodesic.mathdoc.fr/item/AUPO_2008_47_1_a5/

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