JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (2): 98-110.doi: 10.6040/j.issn.1671-9352.0.2020.343

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Stability and extended well-posedness of the solution sets for set optimization problems

MENG Xu-dong   

  1. Science and Technology College of Nanchang Hangkong University, Gongqingcheng 332020, Jiangxi, China
  • Published:2022-01-07

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Abstract: The stability and extended well-posedness of the approximate solution sets for set optimization problems are studied. The Painlevé-Kuratowski upper convergence and lower convergence of the approximate solution sets for set optimization problems are discussed by assuming the continuity and generalized cone quasi-convexity of objective function. The extended well-posedness and weak extended well-posedness for set optimization problems are analyzed under some appropriate assumptions.

Key words: set optimization problem, Painlevé-Kuratowski convergence, stability, extended well-posedness

CLC Number: 

  • O221.3
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