Abstract
Well-posedness for vector optimization problems has been extensively studied. More recently, some attempts to extend thee results to set-valued optimization have been proposed, mainly applying some scalarization. In this paper we propose a new definition of global well-posedness for set-optimization problems. Using an embedding technique proposed by Kuroiwa and Nuriya (2006), we prove well-posedness property of a class of generalized convex set-valued maps.
Citation
Giovanni Crespi. Daishi Kuroiwa. Matteo Rocca. "CONVEXITY AND GLOBAL WELL-POSEDNESS IN SET-OPTIMIZATION." Taiwanese J. Math. 18 (6) 1897 - 1908, 2014. https://doi.org/10.11650/tjm.18.2014.4120
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