In this paper the existence of solutions to variational-type inequalities problems for (η,θ,δ)- pseudomonotone-type set-valued mappings in nonreflexive Banach spaces introduced in [4] is considered. Presented theorem does not require a compact set-valued mapping, but requires a weaker condition 'locally bounded' for the mapping.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1145,
author = {Magdalena Nockowska-Rosiak},
title = {A note on variational-type inequalities for ($\eta$,$\theta$,$\delta$)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {33},
year = {2013},
pages = {41-45},
zbl = {1297.49015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1145}
}
Magdalena Nockowska-Rosiak. A note on variational-type inequalities for (η,θ,δ)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 33 (2013) pp. 41-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1145/
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