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.
@article{bwmeta1.element.bwnjournal-article-smv117i2p123bwm,
author = {Abderrahim Jourani},
title = {Open mapping theorem and inversion theorem for $\gamma$-paraconvex multivalued mappings and applications},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {123-136},
zbl = {0841.46002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p123bwm}
}
Jourani, Abderrahim. Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications. Studia Mathematica, Tome 119 (1996) pp. 123-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p123bwm/
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