Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC
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Publication:3426226
DOI10.1080/02331930600808830zbMath1134.49010OpenAlexW2060760287MaRDI QIDQ3426226
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Publication date: 8 March 2007
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331930600808830
optimality conditionsnormal operatorequilibrium constraintslimiting subdifferentialquasiconvex programming
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Nonsmooth analysis (49J52)
Related Items (18)
Evolutionary variational inequality formulation of the generalized Nash equilibrium problem ⋮ Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints ⋮ On the existence of projected solutions of quasi-variational inequalities and generalized Nash equilibrium problems ⋮ Optimality conditions for nonsmooth equilibrium problems via Hadamard directional derivative ⋮ On Single-Valuedness of Quasimonotone Set-Valued Operators ⋮ Maximal quasimonotonicity and dense single-directional properties of quasimonotone operators ⋮ Quasimonotone quasivariational inequalities: existence results and applications ⋮ Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators ⋮ Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials ⋮ Limiting normal operator in quasiconvex analysis ⋮ Single-directional properties of quasi-monotone operators ⋮ Starshaped sets ⋮ Quasiconvex minimization on a locally finite union of convex sets ⋮ Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality ⋮ Generalized Nash equilibrium problem, variational inequality and quasiconvexity ⋮ Existence results for quasi-variational inequalities with applications to Radner equilibrium problems. Resolution through variational inequalities ⋮ Generalized convex functions and generalized differentials ⋮ Variational Problem, Generalized Convexity, and Application to a Competitive Equilibrium Problem
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