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3835. On optimality conditions for nonsmooth multiobjective programming problems with vanishing constraints

Invited abstract in session MB-41: Vector and Set Optimization II, stream Vector and Set Optimization.

Monday, 10:30-12:00
Room: 97 (building: 306)

Authors (first author is the speaker)

1. Tadeusz Antczak
Faculty of Mathematics and Computer Science, University of Lodz

Abstract

A particular form of extremum problems which attracted the attention of the optimization community over more than the past decade are a so-called optimization problem with vanishing constraints. This follows from the fact that optimization problems of such a type have been served as a model for many extremum problems from structural and topology optimization. In most of works in the optimization literature, optimality and duality results have been proved only for differentiable scalar optimization problems with vanishing constraints. In our considerations, we shall investigate optimality results for a new class of nondifferentiable multiobjective programming problems with vanishing constraints. Namely, we derive both necessary and sufficient optimality conditions for a new class of such nonsmooth vector optimization problems.

Keywords

Status: accepted

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