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Zeitschrift für Analysis und ihre Anwendungen


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Volume 17, Issue 2, 1998, pp. 281–296
DOI: 10.4171/ZAA/822

Published online: 1998-06-30

Fixed Point Theory for Weakly Contractive Maps with Applications to Operator Inclusions in Banach Spaces Relative to the Weak Topology

Donal O'Regan[1]

(1) National University of Ireland, Galway, Ireland

A variety of fixed point results is presented for weakly contractive multi-valued maps. Our theory will then be applied to establish general existence principles for operator inclusions in Banach spaces relative to the weak topology.

Keywords: Fixed points, weakly contractive maps, operator inclusions

O'Regan Donal: Fixed Point Theory for Weakly Contractive Maps with Applications to Operator Inclusions in Banach Spaces Relative to the Weak Topology. Z. Anal. Anwend. 17 (1998), 281-296. doi: 10.4171/ZAA/822