Original scientific paper

https://doi.org/10.17535/crorr.2020.0001

On local quasi efficient solutions for nonsmooth vector optimization problems

Mohsine Jennane ; Faculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, Morocco
Lhoussain El Fadil ; Faculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, Morocco
El Mostafa Kalmoun orcid.org/0000-0002-1434-2541 ; Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar

Abstract

We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke's generalized Jacobians. We also establish the relationship between local quasi weak efficient solutions and vector critical points.

Keywords

generalized approximate invexity; nonsmooth vector optimization; quasi efficient solutions; vector variational inequalities

Hrčak ID:

240679

URI

https://hrcak.srce.hr/240679

Publication date:

7.7.2020.

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