Scholarlink

<p>In this paper, we consider a class of uncertain multiobjective semi-infinite programming problems with switching constraints (UMSIPSCs). Subsequently, we formulate the associated robust counterpart of UMSIPSC, that is, the robust multiobjective semi-infinite programming problem with switching constraints (RMSIPSC). By employing the powerful tools of Mordukhovich limiting subdifferentials, we introduce the notion of generalized robust limiting constraint qualification (GRLCQ) for RMSIPSC to derive the necessary criteria for the local weak Pareto efficiency of RMSIPSC. Moreover, we establish the sufficient optimality conditions for RMSIPSC by employing the notion of generalized convexity. Furthermore, we formulate the Mond-Weir-type dual problem for RMSIPSC and establish several duality results that relate the primal problem RMSIPSC and its corresponding dual problem. Several examples are furnished to demonstrate the significance of the results established in this paper.</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

Robust optimality conditions and duality for multiobjective semi-infinite programming problems with switching constraints under data uncertainty via limiting subdifferentials

  • 期刊论文

  • 发表日期：

    2026年6月3日

查看全文
  • Balendu Bhooshan Upadhyay,
  • Subham Poddar,
  • Giuseppe Caristi,
  • David Barilla

摘要

In this paper, we consider a class of uncertain multiobjective semi-infinite programming problems with switching constraints (UMSIPSCs). Subsequently, we formulate the associated robust counterpart of UMSIPSC, that is, the robust multiobjective semi-infinite programming problem with switching constraints (RMSIPSC). By employing the powerful tools of Mordukhovich limiting subdifferentials, we introduce the notion of generalized robust limiting constraint qualification (GRLCQ) for RMSIPSC to derive the necessary criteria for the local weak Pareto efficiency of RMSIPSC. Moreover, we establish the sufficient optimality conditions for RMSIPSC by employing the notion of generalized convexity. Furthermore, we formulate the Mond-Weir-type dual problem for RMSIPSC and establish several duality results that relate the primal problem RMSIPSC and its corresponding dual problem. Several examples are furnished to demonstrate the significance of the results established in this paper.