Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S2999 - S3008|
|Published online||02 March 2021|
On generalized approximate convex functions and variational inequalities
Department of Mathematics, Graphic Era (Deemed to be University), Dehradun 248002, India
* Corresponding author: firstname.lastname@example.org
Accepted: 9 December 2020
In this paper, we consider a vector optimization problem involving locally Lipschitz generalized approximately convex functions and provide several concepts of approximate efficient solutions. We formulate approximate vector variational inequalities of Minty and Stampacchia type under the framework of Clarke subdifferentials and use these inequalities as a tool to characterize an approximate efficient solution of the vector optimization problem.
Mathematics Subject Classification: 49J30 / 47H09 / 47H10 / 47J20
Key words: Clarke subdifferentials / vector optimization / approximate vector variational inequalities
© EDP Sciences, ROADEF, SMAI 2021
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