Ekeland variational principles for set-valued functions with set perturbations
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Publication:5110311
DOI10.1080/02331934.2019.1653295zbMath1442.58014arXiv1708.05126OpenAlexW2967954400MaRDI QIDQ5110311
Publication date: 18 May 2020
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.05126
Ekeland variational principlevector closurenonconvex separation functional\((C, \epsilon)\)-efficient solutionset perturbationset-valued objective function
Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) Variational principles in infinite-dimensional spaces (58E30)
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Robust Ekeland variational principles. Application to the formation and stability of partnerships ⋮ Ekeland’s variational principle with a scalarization type weighted set order relation ⋮ Directional and approximate efficiency in set optimization ⋮ Ekeland variational principles involving set perturbations in vector equilibrium problems ⋮ Generalized \({\varepsilon }\)-quasi solutions of set optimization problems
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