Scalarization of set-valued optimization problems and variational inequalities in topological vector spaces

DOI10.1016/j.na.2011.05.083zbMath1254.90210OpenAlexW2043349812MaRDI QIDQ654081

Majid Soleimani-damaneh, S. Khoshkhabar-amiranloo

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.083

zbMATH Keywords

variational inequalitiesfunctional analysisconvex analysisGerstewitz's functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

Pointwise well-posedness and scalarization in set optimization, Approximate weak minimal solutions of set-valued optimization problems, Unnamed Item, Derivatives of set-valued maps and gap functions for vector equilibrium problems, Nonlinear scalarization functions and polar cone in set optimization, Scalar characterizations of cone-continuous set-valued maps, Second-order optimality conditions in set-valued optimization via asymptotic derivatives, A derivative-free descent method in set optimization, Global Well-Posedness in Set Optimization

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