Mohamed Laghdir, Issam Dali, Mohamed Bilal Moustaid, A sequential formula for the $\varepsilon$-subdifferential of multi-composed functions via a perturbation approach with an application to location problems

Full Text: PDF
DOI: 10.23952/asvao.4.2022.2.02
Volume 4, Issue 2, 1 August 2022, Pages 145-166

Abstract. Without any qualification condition, we provide a sequential formula for the $\varepsilon$ -subdifferential of multi-composed convex functions via the perturbation theory. As an application of this formula, necessary and sufficient sequential $\varepsilon$ -optimality conditions are obtained for the location problems with monotonic gauges.

How to Cite this Article:
Mohamed Laghdir, Issam Dali, Mohamed Bilal Moustaid, A sequential formula for the $\varepsilon$ -subdifferential of multi-composed functions via a perturbation approach with an application to location problemss, Appl. Set-Valued Anal. Optim. 4 (2022), 145-166.