Affine Variational Inequalities on Normed Spaces

Nguyen Dong Yen () and Xiaoqi Yang ()
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Nguyen Dong Yen: Vietnam Academy of Science and Technology
Xiaoqi Yang: Department of Applied Mathematics, The Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 1, No 3, 36-55

Abstract: Abstract This paper studies infinite-dimensional affine variational inequalities on normed spaces. It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities. We present two basic facts about infinite-dimensional affine variational inequalities: the Lagrange multiplier rule and the solution set decomposition.

Keywords: Infinite-dimensional affine variational inequality; Infinite-dimensional quadratic programming; Infinite-dimensional linear fractional vector optimization; Generalized polyhedral convex set; Solution set; 49J40; 49J50; 49K40; 90C20; 90C29 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-018-1296-3

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