Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
Studia Mathematica, Tome 117 (1995) no. 2, pp. 123-136
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_sm_117_2_123_136,
author = {Abderrahim Jourani},
title = {Open mapping theorem and inversion theorem for \ensuremath{\gamma}-paraconvex multivalued mappings and applications},
journal = {Studia Mathematica},
pages = {123--136},
publisher = {mathdoc},
volume = {117},
number = {2},
year = {1995},
doi = {10.4064/sm-117-2-123-136},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-117-2-123-136/}
}
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%0 Journal Article %A Abderrahim Jourani %T Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications %J Studia Mathematica %D 1995 %P 123-136 %V 117 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-117-2-123-136/ %R 10.4064/sm-117-2-123-136 %G en %F 10_4064_sm_117_2_123_136
Abderrahim Jourani. Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications. Studia Mathematica, Tome 117 (1995) no. 2, pp. 123-136. doi: 10.4064/sm-117-2-123-136
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