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Zeitschrift für Analysis und ihre Anwendungen

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Volume 18, Issue 3, 1999, pp. 701–712
DOI: 10.4171/ZAA/907

Published online: 1999-09-30

A General Coincidence Theory for Set-Valued Maps

Donal O'Regan[1]

(1) National University of Ireland, Galway, Ireland

We present in this paper a coincidence theory for maps with closed graph and maps with continuous selections. Our theory relies on a new fixed point theorem for maps with closed graph. In addition, new minimax theorems and variational inequalities are presented.

Keywords: Closed maps, continuous selections, acyclic maps, coincidence, minimax, variational inequalities

O'Regan Donal: A General Coincidence Theory for Set-Valued Maps. Z. Anal. Anwend. 18 (1999), 701-712. doi: 10.4171/ZAA/907