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Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations

Szymon Dudek

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Source: Crossref

Published: Jan 1, 2017

DOI: 10.2298/aadm1702340d

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Source abstract

In this paper, we present two new fixed point theorems in Fr?chet algebras and Fr?chet spaces. Our fixed point results are expressed with the help of family of measures of noncompactness and generalizes Darbo theorem. As an application, we establish some existence results for various types of nonlinear integral equations.

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Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations — Mathematical Frontier Network