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JOURNAL ARTICLE

Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective semidefinite and semi-infinite programming

Lê Thanh Tùng Lê Thanh Tùng L Tung C Ding D Sun J Ye M Golestani S Nobakhtian J Hiriart-Urruty J Malick V Jeyakumar D Luc A Kabgani M Soleimani-Damaneh P Khanh L Tung N Kanzi S Nobakhtian N Kanzi S Li X Yang K Teo G Lee K Lee J Martnez-Legaz J Penot J Quan J Wu G Li O Wu R Rockafellar D Sun D Sun J Sun L Tung S Yang

Year: 2019 Journal: Journal of Applied and Numerical Optimization Vol: 2019 (1)

DOI: 10.23952/jano.1.2019.1.06

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Abstract

In this paper, a nonsmooth multiobjective semidefinite and semi-infinite programming is investigated.By using tangential subdifferentials for the tangential convex functions defined on the space of symmetric matrices, we establish the necessary and sufficient optimality conditions for some kind of efficient solutions of the nonsmooth multiobjective semidefinite and semi-infinite programming.

Keywords:

Karush–Kuhn–Tucker conditions Semidefinite programming Mathematical optimization Mathematics Semidefinite embedding Computer science Applied mathematics Quadratically constrained quadratic program Quadratic programming

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20

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Topics

Optimization and Variational Analysis

Physical Sciences → Computer Science → Computational Theory and Mathematics

Optimization and Mathematical Programming

Physical Sciences → Engineering → Control and Systems Engineering

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