Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings
Year: 2014
Author: Dapeng Gao, Shiqiang Feng
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 90–96
Abstract
In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-CMR-18990
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 90–96
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: generalized vector quasi-variational-like inequality maximal element theorem upper semicontinuous diagonal convexity locally convex topological vector space.