Characterizations of set order relations and nonlinear scalarizations via generalized oriented distance function in set optimization

Khushboo () and C. S. Lalitha ()
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Khushboo: University of Delhi
C. S. Lalitha: University of Delhi South Campus

Journal of Global Optimization, 2023, vol. 85, issue 1, No 10, 235-249

Abstract: Abstract The aim of this paper is to establish scalar characterizations of minimal, weak minimal and strict minimal solutions in terms of a generalized oriented distance function defined on sets in real normed linear space with respect to a point in the space. Further, we study the lower and upper semicontinuity of the generalized oriented distance function.

Keywords: Set optimization; Nonlinear scalarization; Generalized oriented distance function; Semicontinuity; 90C26; 54C60; 49J53 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10898-022-01203-6

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