Nonlinear scalarization characterizations of \(e\)-efficiency in vector optimization
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Publication:514856
DOI10.11650/tjm.19.2015.4360zbMath1357.90147OpenAlexW2015063650MaRDI QIDQ514856
Yang, Xinmin, Yuan Mei Xia, Ke Quan Zhao
Publication date: 9 March 2017
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4360
vector optimization\(E\)-efficient solutionsnonlinear scalarization functionsweak \(E\)-efficient solutions
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
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A kind of unified strict efficiency via improvement sets in vector optimization ⋮ Properties of the nonlinear scalar functional and its applications to vector optimization problems ⋮ Conic scalarizations for approximate efficient solutions in nonconvex vector optimization problems ⋮ Scalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysis ⋮ The connectedness of the solutions set for set-valued vector equilibrium problems under improvement sets ⋮ Some characterizations of a nonlinear scalarizing function via oriented distance function
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