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