EUROPT 2024
Abstract Submission

118. On an open problem related to the Gale's example in conic linear programming

Invited abstract in session WF-4: Multiobjective Optimization I, stream Multiobjective optimization.

Wednesday, 16:20 - 18:00
Room: M:M

Authors (first author is the speaker)

1. Constantin Zalinescu
Institute of Mathematics, Iasi Branch of Romanian Academy

Abstract

In the paper [Duality gap function in infinite dimensional linear
programming, J. Math. Anal. Appl., 437 (2016), 1-15], the authors,
N.T. Vinh, D.S. Kim, N.N. Tam and N.D. Yen, formulate an open
problem concerning the perturbed Gale's example. Our aim is to
present a solution to that open problem. First, we derive the main
duality results for the conic linear programming problems using
Rockafellar's perturbation method in convex analysis.

Keywords

Status: accepted


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