On some nonlinear alternatives of Leray-Schauder type and functional integral equations

Dhage, Bapurao Chandra

Archivum Mathematicum, Tome 042 (2006), p. 11-23 / Harvested from Czech Digital Mathematics Library

Résumé

In this paper, some new fixed point theorems concerning the nonlinear alternative of Leray-Schauder type are proved in a Banach algebra. Applications are given to nonlinear functional integral equations in Banach algebras for proving the existence results. Our results of this paper complement the results that appear in Granas et. al. (Granas, A., Guenther, R. B. and Lee, J. W., Some existence principles in the Caratherodony theory of nonlinear differential system, J. Math. Pures Appl. 70 (1991), 153–196.) and Dhage and Regan (Dhage, B. C. and O’Regan, D., A fixed point theorem in Banach algebras with applications to functional integral equations, Funct. Differ. Equ. 7(3-4)(2000), 259–267.).

Détail

Publié le : 2006-01-01

MR 2227108 | Zbl 1164.47357

Classification:  45G10,  47H10,  47N20

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