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

• Autorzy: Abderrahim Jourani
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A27: Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
• 46A30: Open mapping and closed graph theorems; completeness (including B -, B r -completeness)
• 49J52: Nonsmooth analysis
• 46E25: Rings and algebras of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995-1996
• Tom: 117
• Numer: 2
• Strony: 123-136

Daty

wydano

1996

otrzymano

1995-01-30

poprawiono

1995-07-24

Twórcy

autor

Abderrahim Jourani

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

Bibliografia

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