Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization

Duong Thi Viet An (), Nguyen Huy Hung () and Nguyen Tuyen ()
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Duong Thi Viet An: Thai Nguyen University of Sciences
Nguyen Huy Hung: Hanoi Pedagogical University 2
Nguyen Tuyen: Hanoi Pedagogical University 2

Journal of Optimization Theory and Applications, 2024, vol. 202, issue 2, No 9, 745-770

Abstract: Abstract In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing the basic subdifferential and the coderivative of the efficient point multifunction of parametric convex vector optimization problems. These results are then applied to a broad class of conventional convex vector optimization problems with the presence of operator constraints and equilibrium ones. Examples are also designed to analyze and illustrate the obtained results.

Keywords: Parametric convex vector optimization; Efficient point multifunction; Subdifferential; Coderivative; Sensitivity analysis; 49K40; 49J52; 90C25; 90C29; 90C31 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02446-x

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