Infinite Dimensional Duality and Applications
作者： Patrizia Daniele , Sofia Giuffrè , Giovanna Idone , Antonino Maugeri
DOI: 10.1007/S00208-007-0118-Y
关键词: Strong duality 、 Weak duality 、 Lagrange multiplier 、 Mathematics 、 Variational inequality 、 Nonlinear system 、 Optimization problem 、 Duality gap 、 Algebra 、 Applied mathematics 、 Duality (mathematics)
摘要: The usual duality theory cannot be applied to infinite dimensional problems because the underlying constraint set mostly has an empty interior and constraints are possibly nonlinear. In this paper we present nonlinear obtained by using new separation theorems based on notion of quasi-relative interior, which, in all concrete considered, is nonempty. We apply solve until now unsolved problem finding, case, Lagrange multipliers associated optimization or variational inequalities. As example, find multiplier a general elastic–plastic torsion problem.
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