Pointwise well-posedness and scalarization in set optimization

S. Khoshkhabar-amiranloo () and E. Khorram ()

Mathematical Methods of Operations Research, 2015, vol. 82, issue 2, 195-210

Abstract: In this paper, some notions of pointwise well-posedness for set optimization problems are introduced. Some relationships among these notions are established. Using a new nonlinear scalarization function, pointwise well-posed set optimization problems are characterized by means of a family of Tykhonov well-posed scalar optimization problems. Also, three classes of well-posed set optimization problems are identified. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Well-posedness; Set optimization; Set order relations; Scalarization functions (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00186-015-0509-x

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