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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
RAOTA-2016

Abstract

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.

Keywords

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

Notes

Acknowledgements

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

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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