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Zeitschrift für Analysis und ihre Anwendungen

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Volume 15, Issue 3, 1996, pp. 565–578
DOI: 10.4171/ZAA/716

Published online: 1996-09-30

A Continuation Method for Weakly Condensing Operators

Donal O'Regan[1]

(1) National University of Ireland, Galway, Ireland

We present a continuation result for weakly condensing operators between Banach spaces. There are given also a new fixed point result being in the spirit of Schauder’s fixed point theorem and some applications to nonlinear operator equations.

Keywords: Fixed points, continuation theory, measures of weak non-compactness

O'Regan Donal: A Continuation Method for Weakly Condensing Operators. Z. Anal. Anwend. 15 (1996), 565-578. doi: 10.4171/ZAA/716