On necessary conditions for infinite-dimensional extremum problems
Copyright policy )On necessary conditions for infinite-dimensional extremum problems
The authors study optimality conditions for extremum problems to be of infinite-dimensional image by the image space approach by means of associating to the feasible set a special multifunction whose values are given by suitable subsets of a finite-dimensional space. The existence of a selection of the image multifunction whose range has an empty intersection with a suitable subset in the image space will be an optimality condition for the problem. Analyses on the selection multipliers are also given.
- University of Milan Italy
- University of Pisa Italy
- University of Milano-Bicocca Italy
Programming in abstract spaces, necessary optimality conditions, Lagrange multipliers, Image space, Lagrange multipliers, Multifunctions, Necessary optimality conditions, Nonsmooth optimization, image space approach, multifunction, selection multipliers, Nonsmooth analysis, Optimality conditions and duality in mathematical programming, Optimality conditions for problems in abstract spaces
Programming in abstract spaces, necessary optimality conditions, Lagrange multipliers, Image space, Lagrange multipliers, Multifunctions, Necessary optimality conditions, Nonsmooth optimization, image space approach, multifunction, selection multipliers, Nonsmooth analysis, Optimality conditions and duality in mathematical programming, Optimality conditions for problems in abstract spaces
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