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Zeitschrift für Analysis und ihre Anwendungen


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Volume 27, Issue 4, 2008, pp. 407–423
DOI: 10.4171/ZAA/1362

Published online: 2008-12-31

Fibre Picard Operators on Gauge Spaces and Applications

I. A. Rus[1], A. Petrusel[2] and M. A. Serban[3]

(1) Babes-Bolyai University, Cluj-Napoca, Romania
(2) Babes-Bolyai University, Cluj-Napoca, Romania
(3) Babes-Bolyai University, Cluj-Napoca, Romania

The purpose of this paper is to prove some fibre Picard operator principles in gauge spaces. As application, the differentiability with respect to parameters of the solution of a Volterra functional-integral equation is discussed.

Keywords: Fixed point, fibre Picard operator, gauge space, integral equation, data dependence

Rus I. A., Petrusel A., Serban M. A.: Fibre Picard Operators on Gauge Spaces and Applications. Z. Anal. Anwend. 27 (2008), 407-423. doi: 10.4171/ZAA/1362