Single-Directional Properties of Quasi-Monotone Operators |
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Authors: | Didier Aussel Marián Fabian |
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Institution: | 1. Lab. PROMES, CNRS UPR 8521, University of Perpignan, Perpignan, France 2. Mathematical Institute of Czech Academy of Sciencs, ?itná 25, 115 67, Praha 1, Czech Republic
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Abstract: | A large supply of quasi-monotone multivalued mappings with values in a weak* fragmentable dual Banach space is shown to be generically single-directional. This is of some interest in analysis of quasi-convex functions. The paper extends/strengthens some results of a recent paper by Aussel and Eberhard (Math Program 30, 2012). |
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