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

Letizia Pellegrini () and Shengkun Zhu ()
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Letizia Pellegrini: University of Verona
Shengkun Zhu: Southwestern University of Finance and Economics

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 3, No 11, 788-810

Abstract: Abstract The scalar finite-dimensional case has been discussed in the first part of this work series, which aims at exploiting the image space analysis to establish a general regularity condition for constrained extremum problems. Based on this preliminary result, the present paper dedicates itself to further study the regularity conditions for vector constrained extremum problems in a Euclidean space. The case of infinite-dimensional image will be the subject of a subsequent paper.

Keywords: Image space analysis; Vector optimization; Regularity condition; Constraint qualification; Separation function; 49N15; 90C30; 90C46 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1322-5

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