Proper efficiency for set-valued vector optimization problems and vector variational in\-equalities.

DOI10.1007/PL00003994zbMath1038.90072OpenAlexW2009757988MaRDI QIDQ1403176

Wei Liu, Xun-Hua Gong

Publication date: 2000

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00003994

zbMATH Keywords

vector variational inequalityproper efficiencyepiderivativevector set-valued optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Set-valued and variational analysis (49J53)

Related Items (12)

Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative ⋮ Kuhn-Tucker optimality conditions for vector equilibrium problems ⋮ Henig proper generalized vector quasiequilibrium problems ⋮ Optimality conditions for proper efficient solutions of vector set-valued optimization. ⋮ Super efficiency of multicriterion network equilibrium model and vector variational inequality ⋮ Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative ⋮ Henig globally efficiency for set-valued optimization and vector variational inequality ⋮ Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives ⋮ Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization ⋮ Optimality conditions for vector equilibrium problems in normed spaces ⋮ New notions of proper efficiency in set optimization with the set criterion ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

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