Constrained Extremum Problems, Regularity Conditions and Image Space Analysis. Part I: The Scalar Finite-Dimensional Case

Shengkun Zhu ()
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Shengkun Zhu: Southwestern University of Finance and Economics

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 3, No 10, 770-787

Abstract: 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.

Keywords: Image space analysis; Regularity condition; Constraint qualification; Separation function; 49N15; 90C30; 90C46 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1216-6

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