Scholarlink

<p>This article deals with a class of nonsmooth multiobjective geodesic pseudolinear programming problems (in short, (NMGPP)) in terms of bifunctions in the framework of Hadamard manifolds. Employing Slater-type constraint qualification, we establish the necessary criteria of Pareto efficiency for (NMGPP). Moreover, we establish sufficient criteria of Pareto efficiency for the considered problem (NMGPP). The Mond-Weir type dual model (in short, (MWDP)) related to (NMGPP) is formulated. Weak and strong duality results that relate (NMGPP) and (MWDP) are derived. Moreover, we employ the concept of proper Pareto efficiency to relate (MWDP) and (NMGPP). Non-trivial numerical examples are furnished to validate the significance of the results deduced in this paper. As far as the best of our knowledge is concerned, this is the first time that optimality conditions and duality results for (NMGPP) have been derived in terms of bifunctions in the Hadamard manifold framework.</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 for nonsmooth multiobjective geodesic pseudolinear programming problems in terms of bifunctions on Hadamard manifolds

  • 期刊论文

  • 发表日期：

    2025年1月31日

查看全文
  • B. B. Upadhyay,
  • Arnav Ghosh,
  • Sushil K. Tiwari,
  • I. M. Stancu-Minasian

摘要

This article deals with a class of nonsmooth multiobjective geodesic pseudolinear programming problems (in short, (NMGPP)) in terms of bifunctions in the framework of Hadamard manifolds. Employing Slater-type constraint qualification, we establish the necessary criteria of Pareto efficiency for (NMGPP). Moreover, we establish sufficient criteria of Pareto efficiency for the considered problem (NMGPP). The Mond-Weir type dual model (in short, (MWDP)) related to (NMGPP) is formulated. Weak and strong duality results that relate (NMGPP) and (MWDP) are derived. Moreover, we employ the concept of proper Pareto efficiency to relate (MWDP) and (NMGPP). Non-trivial numerical examples are furnished to validate the significance of the results deduced in this paper. As far as the best of our knowledge is concerned, this is the first time that optimality conditions and duality results for (NMGPP) have been derived in terms of bifunctions in the Hadamard manifold framework.