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<p>In this paper, we consider a mathematical programming problem with equilibrium constraints (MPEC), where its functions are not necessarily smooth, continuous, or locally Lipschitz. Using directional convexificators, initially developed by Dempe and Pickela (Necessary optimality conditions for optimistic bilevel programming problems using set-valued programming, J.&#xa0;Glob. Optim. 61:769–788, <CitationRef CitationID="CR1">2015</CitationRef>), we investigate the Wolfe-type dual problem under generalized convexity assumptions.</p>

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On Wolfe duality for mathematical programs with equilibrium constraints using directional convexificators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月5日

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  • Prachi Sachan,
  • Vivek Laha,
  • Mohammad Esmael Samei

摘要

In this paper, we consider a mathematical programming problem with equilibrium constraints (MPEC), where its functions are not necessarily smooth, continuous, or locally Lipschitz. Using directional convexificators, initially developed by Dempe and Pickela (Necessary optimality conditions for optimistic bilevel programming problems using set-valued programming, J. Glob. Optim. 61:769–788, 2015), we investigate the Wolfe-type dual problem under generalized convexity assumptions.