4.6 Article

A note on characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators

Journal

OPTIMIZATION
Volume 72, Issue 9, Pages 2393-2398

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2022.2059369

Keywords

Nonsmooth optimization; multiobjective optimization; convexificator; semi-infinite programming; constraint qualification

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We correct Theorem 4.1 in [Kabgani A, Soleimani-damaneh M. "Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. Optimization, 2018; 67: 217-235] and demonstrate that the error does not affect other results in the paper. Additionally, we present several new corollaries for this theorem.
This note concerns with Theorem 4.1 in [Kabgani A, Soleimani-damaneh M. Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. Optimization, 2018; 67: 217-235]. We present this theorem in a correct way and show that the error does not influence other results of the paper. Moreover, we provide some new corollaries for this theorem.

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