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Submitted version

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1989

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151629

Some results on approximate continuous selections, fixed points and minimax inequalities

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Abstract

We introduce the class of multi-valued D-mappings from a non-empty compact subset K of a locally convex Hausdorff topological vector space into a vector space (which, for K convex, includes the class of convex mappings) and we prove that they have a special approximate continuous selection property, from which an approximate fixed point theorem is derived. These results are applied, in particular, to Darboux continuous functions defined on a closed real interval. Furthermore, we extend sorne game theoretic statements concerning continuous decision rules to the case when the strategies of one player are constrained by those of the other and we obtain sorne results related to Ky Fan's inequality involving severa! functions.

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Preprint enviat per a la seva publicació en una revista científica.

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Teoria de la forma (Topologia), Desigualtats (Matemàtica), Teoria de jocs, Funcions de variables complexes

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Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

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MARCHI, Ezio and MARTÍNEZ LEGAZ, Juan Enrique. Some results on approximate continuous selections, fixed points and minimax inequalities. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/151629

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