Scholarlink

<p>In this paper, the class of nonsmooth vector optimization problems with multiple interval-valued objectives is considered in which every component of all the involved functions is a locally Lipschitz mapping. Both the Fritz John necessary optimality conditions and, under the introduced no nonzero abnormal multiplier <i>G</i>-constraint qualification, the Karush-Kuhn-Tucker necessary optimality conditions are established for a weak <i>LU</i>-Pareto solution in such nondifferentiable multicriteria interval-valued optimization problems. Further, the sufficient optimality conditions for both weak <i>LU</i>-Pareto and <i>LU</i>-Pareto solutions, and, moreover, several duality results in the Mond-Weir sense are established under the assumptions that the functions constituting the considered nondifferentiable vector interval-valued optimization problem are <i>G</i>-invex.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimality conditions and duality results for nondifferentiable vector interval-valued optimization problems with G-invex functions

  • 期刊论文

  • 发表日期：

    2026年5月26日

查看全文
  • Tadeusz Antczak,
  • Balendu Bhooshan Upadhyay,
  • Ram Narayan Mohapatra

摘要

In this paper, the class of nonsmooth vector optimization problems with multiple interval-valued objectives is considered in which every component of all the involved functions is a locally Lipschitz mapping. Both the Fritz John necessary optimality conditions and, under the introduced no nonzero abnormal multiplier G-constraint qualification, the Karush-Kuhn-Tucker necessary optimality conditions are established for a weak LU-Pareto solution in such nondifferentiable multicriteria interval-valued optimization problems. Further, the sufficient optimality conditions for both weak LU-Pareto and LU-Pareto solutions, and, moreover, several duality results in the Mond-Weir sense are established under the assumptions that the functions constituting the considered nondifferentiable vector interval-valued optimization problem are G-invex.