Weak minimal elements and weak minimal solutions of a nonconvex set-valued optimization problem

M. Chinaie (), F. Fakhar (), M. Fakhar () and H. R. Hajisharifi ()
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M. Chinaie: University of Isfahan
F. Fakhar: University of Isfahan
M. Fakhar: University of Isfahan
H. R. Hajisharifi: University of Khansar

Journal of Global Optimization, 2019, vol. 75, issue 1, No 7, 141 pages

Abstract: Abstract In this paper, we characterize the nonemptiness of the set of weak minimal elements for a nonempty subset of a linear space. Moreover, we obtain some existence results for a nonconvex set-valued optimization problem under weaker topological conditions.

Keywords: Algebraic interior; Linear space; Set-valued optimization; Vector closure (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-019-00810-0

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