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<p>In this paper, we first propose two forms of Levitin-Polyak well-posedness for a multiobjective interval-valued optimization problem. We also discuss some sufficient conditions for these well-posedness of such problems and study their relations. Moreover, we present the Painlevé-Kuratowski convergence of solution sets for multiobjective interval-valued optimization problems. Finally, we apply some obtained results to the calculus of variations for interval-valued functions.</p>

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Levitin-Polyak Well-Posedness and Stability in Multiobjective Interval-Valued Optimization Problems with Applications

  • 期刊论文

  • 发表日期：

    2026年4月11日

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  • Chuang-Liang Zhang

摘要

In this paper, we first propose two forms of Levitin-Polyak well-posedness for a multiobjective interval-valued optimization problem. We also discuss some sufficient conditions for these well-posedness of such problems and study their relations. Moreover, we present the Painlevé-Kuratowski convergence of solution sets for multiobjective interval-valued optimization problems. Finally, we apply some obtained results to the calculus of variations for interval-valued functions.