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

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

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,...

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Veröffentlicht in:Annals of operations research 2018-10, Vol.269 (1-2), p.149-166
Hauptverfasser: Crespi, Giovanni P., Dhingra, Mansi, Lalitha, C. S.
Format: Artikel
Sprache:eng
Schlagworte:
Business and Management
Combinatorics
Management science
Operations research
Operations Research/Decision Theory
Optimization
Optimization theory
Raota-2016
Studies
Theory of Computation
Well posed problems
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Beschreibung
Zusammenfassung: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.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2709-7