Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
Volume 117 / 1996
Studia Mathematica 117 (1996), 123-136
DOI: 10.4064/sm-117-2-123-136
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.
