Technical Note Discontinuous Implicit Quasivariational Inequalities in Normed Spaces

S. Huang and J. C. Yao
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S. Huang: National Donghwa University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 1, No 13, 219-225

Abstract: Abstract In this paper, we consider an implicit quasivariational inequality without continuity assumptions in normed spaces. The main result (Theorem 2.1) provides an infinite-dimensional version of Theorem 3.2 in Ref. 1. To achieve such a goal, we employ Theorem 3.2 in Ref. 1 and the technique of Cubiotti in Ref. 2. In particular, Theorem 3.1 covers a recent result of Cubiotti (Theorem 3.1 of Ref. 2) as a special case.

Keywords: Implicit quasivariational inequalities; affine hulls; generalized quasivariational inequalities; Hausdorff lower semicontinuity (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9046-3

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