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<p>We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in terms of several types of subgradients and coderivatives. We make use of Shapiro properties for sets and the employment of different kinds of generalized differentiation objects allows to describe several degrees of sharpness. The main assertions generalize related results from literature.</p>

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POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月11日

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  • Marius DUREA,
  • Elena-Andreea FLOREA,
  • Radu STRUGARIU

摘要

We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in terms of several types of subgradients and coderivatives. We make use of Shapiro properties for sets and the employment of different kinds of generalized differentiation objects allows to describe several degrees of sharpness. The main assertions generalize related results from literature.