Optimality conditions for circular cone complementarity programs. (4th March 2022)

• Record Type: Journal Article
• Authors: Thinh, V. D.; Chuong, T. D.; Anh, N. L. H.
• Is Part Of: Optimization. Volume 71:Number 3(2022)
• Page Start: 529
• Page End: 560
• Publication Date: 2022-03-04
• Subjects: Circular cone -- complementarity set -- directionally metrical subregularity -- optimality condition; 49J52 -- 49K40 -- 58C20 -- 65K10 -- 90C29; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1808645
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we first provide some results on first- and second-order analysis to a circular cone complementary set Γ. In this way, we obtain a parabolical regularity of Γ as well as an exact computation for second epi-derivative of the indicator function to Γ. We then establish first- and second-order optimality conditions for a mathematical programming problem involving a circular cone complementary constraint under the validation of metric subregularity and second-order tangent constraint qualification. Our results are sharpened in comparison with some existing ones in the literature.