Applications of Generalized Variational and Quasivariational Inequalities with Operator Solutions in a TVS |
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Authors: | S Kum W K Kim |
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Institution: | (1) Department of Mathematics Education,, Chungbuk National University, Cheongju, South Korea |
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Abstract: | In a recent paper, Domokos and Kolumbán introduced variational inequalities with operator solutions to provide a unified approach
to several kinds of variational inequalities and vector variational inequalities in Banach spaces. Inspired by their work,
in a former paper, we extended the scheme of vector variational inequalities with operator solutions from the single-valued
case to the multivalued one and provided some applications to generalized vector variational inequalities and generalized
quasivector variational inequalities in normed spaces. As a continuation of the former work, in this paper, we further extend
those results to more general and tangible cases in the context of Hausdorff topological vector spaces or locally convex spaces.
This work was supported by KOSEF Grant R01-2003-000-10825-0. |
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Keywords: | Vector variational inequalities Variational inequalities with operator solutions C-pseudomonotone operators |
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