Scalarization and pointwise well-posedness for set optimization problems

Xian-Jun Long (), Jian-Wen Peng () and Zai-Yun Peng

Journal of Global Optimization, 2015, vol. 62, issue 4, 763-773

Abstract: In this paper, we consider three kinds of pointwise well-posedness for set optimization problems. We establish some relations among the three kinds of pointwise well-posedness. By virtue of a generalized nonlinear scalarization function, we obtain the equivalence relations between the three kinds of pointwise well-posedness for set optimization problems and the well-posedness of three kinds of scalar optimization problems, respectively. Copyright Springer Science+Business Media New York 2015

Keywords: Well-posedness; Set optimization problem; Nonlinear scalarization function; $$u$$ u -minimal solution (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10898-014-0265-0

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