Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 3, pp. 701-712 (1999)
A General Coincidence Theory for Set-Valued Maps
D. O'ReganNational University of Ireland, Department of Mathematics, Galway, Ireland
Abstract: 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
Classification (MSC2000): 46H10, 54C60, 54C65, 54H25
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