On local quasi efficient solutions for nonsmooth vector optimization problems

Authors

  • Mohsine Jeanane 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 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.

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Published

2020-07-02

Issue

Volume 11 (2020), Number 1

Section

CRORR Journal Regular Issue

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