Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
Studia Mathematica, Tome 117 (1995) no. 2, pp. 123-136
Cet article a éte moissonné depuis 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},
year = {1995},
volume = {117},
number = {2},
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 %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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