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

Giovanni P. Crespi (), Mansi Dhingra () and C. S. Lalitha ()
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Giovanni P. Crespi: Università degli Studi dell’Insubria
Mansi Dhingra: University of Delhi
C. S. Lalitha: University of Delhi

Annals of Operations Research, 2018, vol. 269, issue 1, No 9, 149-166

Abstract: 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 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10479-017-2709-7

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