Annals of Operations Research

, Volume 269, Issue 1–2, pp 149–166 | Cite as

Pointwise and global well-posedness in set optimization: a direct approach

  • Giovanni P. Crespi
  • Mansi Dhingra
  • C. S. Lalitha


The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps, lead directly to many characterizations for well-posedness. Sufficient conditions are also given for global well-posedness.


Well-posedness Set optimization l-minimal solution Compactness Upper continuity 



The authors thank the referees for their valuable suggestions that greatly helped to improve the paper. Research of C.S. Lalitha was supported by R&D Research Development Grant to University Faculty.


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Authors and Affiliations

  1. 1.Department of EconomicsUniversità degli Studi dell’InsubriaVareseItaly
  2. 2.Department of MathematicsUniversity of DelhiDelhiIndia
  3. 3.Department of MathematicsUniversity of DelhiNew DelhiIndia

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