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<p>In this paper, we consider nonsmooth vector optimization problems involving V-invex functions with respect to convex compact sets. We formulate vector variational-like inequalities of Minty type (QMVVLI) and Stampacchia type (QSMVVLI). We obtain necessary and sufficient conditions for an efficient solution of nonsmooth vector optimization problems involving V-invex functions with respect to convex compact set using (QMVVLI) and (QSMVVLI). We also obtain various results related to the weaker version of the solution corresponding to vector variational-like inequalities in terms of quasidifferentials.</p>

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Nonsmooth quasidifferentiable vector optimization problems with variational inequalities for V-invexity

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Shashi Kant Mishra,
  • Dheerendra Singh,
  • Mohd. Hassan

摘要

In this paper, we consider nonsmooth vector optimization problems involving V-invex functions with respect to convex compact sets. We formulate vector variational-like inequalities of Minty type (QMVVLI) and Stampacchia type (QSMVVLI). We obtain necessary and sufficient conditions for an efficient solution of nonsmooth vector optimization problems involving V-invex functions with respect to convex compact set using (QMVVLI) and (QSMVVLI). We also obtain various results related to the weaker version of the solution corresponding to vector variational-like inequalities in terms of quasidifferentials.