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

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.

Automated summary

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.