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<p>In this paper, Benson and Henig proper efficient elements of set-valued optimization with variable order structures are studied by using the second-order tangent epiderivatives. By applying nonlinear functionals, necessary optimality conditions for the solutions are established. By virtue of the properties of second-order tangent epiderivatives, corresponding optimality sufficient conditions are established. Some examples are given to illustrate the main results.</p>

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Nonlinear Characterizations for Some Solutions of Set-valued Optimization with Variable Ordering Structures via Second-order Tangent Epiderivatives

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Wen-qing Wang,
  • Yi-hong Xu

摘要

In this paper, Benson and Henig proper efficient elements of set-valued optimization with variable order structures are studied by using the second-order tangent epiderivatives. By applying nonlinear functionals, necessary optimality conditions for the solutions are established. By virtue of the properties of second-order tangent epiderivatives, corresponding optimality sufficient conditions are established. Some examples are given to illustrate the main results.