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Title

Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications

Authors 1

Affiliations

  1. Université de Bourgogne, Laboratoire "Analyse Appliquée et Optimisation", B.P. 138, 21004 Dijon Cedex, France

Abstract

We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.

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Studia Mathematica
1995-1996/117/2
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Pages:
123-136
Main language of publication
English
Received
1995-01-30
Accepted
1995-07-24
Published
1996
Exact and natural sciences