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- Title
Constrained Extremum Problems, Regularity Conditions and Image Space Analysis. Part I: The Scalar Finite-Dimensional Case.
- Authors
Zhu, Shengkun
- Abstract
Image space analysis has proved to be instrumental in unifying several theories, apparently disjoint from each other. With reference to constraint qualifications/regularity conditions in optimization, such an analysis has been recently introduced by Moldovan and Pellegrini. Based on this result, the present paper is a preliminary part of a work, which aims at exploiting the image space analysis to establish a general regularity condition for constrained extremum problems. The present part deals with scalar constrained extremum problems in a Euclidean space. The vector case as well as the case of infinite-dimensional image will be the subject of a subsequent part.
- Subjects
MATHEMATICAL optimization; SEPARATION of variables; EXTREMAL problems (Mathematics); VECTOR analysis; LAGRANGIAN functions
- Publication
Journal of Optimization Theory & Applications, 2018, Vol 177, Issue 3, p770
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-018-1216-6