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https://dspace.ctu.edu.vn/jspui/handle/123456789/100860
Title: | Well-posedness for set optimization problems involving set order relations |
Authors: | Pham, Thi Vui Lam, Quoc Anh Wangkeeree, Rabian |
Keywords: | Set order relation Set optimization problem Measure of noncompactness Well-posedness Stability |
Issue Date: | 2020 |
Series/Report no.: | Acta mathematica Vietnamica journal;Vol.45(02) .- P.329-344 |
Abstract: | In this paper, we investigate set optimization problems with three types of set order relations. Various kinds of well-posedness for these problems and their relationship are concerned. Then, sufficient conditions for set optimization problems to be well-posed are established. Moreover, Kuratowski measure of noncompactness is applied to survey characterizations of well-posedness for set optimization problems. Furthermore, approximating solution maps and their stability are researched to propose the link between stability of the approximating problem and well-posedness of the set optimization problem. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/100860 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
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_file_ Restricted Access | 2.76 MB | Adobe PDF | ||
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