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<p>This paper establishes a new paradigm in nonlinear programming problems for a pair of multiobjective third order symmetric duality. Under the conditions of third order boncavity and bonvexity, we establish duality results, including weak duality, strong duality and converse duality theorems, for newly formulated third-order symmetric dual problems. Different examples and counter examples are also provided to justify our results.</p>

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Third Order Symmetric Duality in Multiobjective Programming Problems

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • S. K. Padhan,
  • N. Behera,
  • G. Biswal

摘要

This paper establishes a new paradigm in nonlinear programming problems for a pair of multiobjective third order symmetric duality. Under the conditions of third order boncavity and bonvexity, we establish duality results, including weak duality, strong duality and converse duality theorems, for newly formulated third-order symmetric dual problems. Different examples and counter examples are also provided to justify our results.