Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
From MaRDI portal
Publication:5470197
DOI10.1137/040606958zbMath1098.49015OpenAlexW2036364843MaRDI QIDQ5470197
Nicolas Hadjisavvas, Didier Aussel
Publication date: 30 May 2006
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/040606958
Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Nonsmooth analysis (49J52) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)
Related Items (41)
The pseudomonotone polar for multivalued operators ⋮ Approximation of quasiconvex functions by neatly quasiconvex functions ⋮ Evolutionary variational inequality formulation of the generalized Nash equilibrium problem ⋮ On quasimonotone Stampacchia variational inequalities on Hadamard manifolds ⋮ Interior quasi-subgradient method with non-Euclidean distances for constrained quasi-convex optimization problems in Hilbert spaces ⋮ A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets ⋮ Transformation of quasiconvex functions to eliminate local minima ⋮ On the existence of projected solutions of quasi-variational inequalities and generalized Nash equilibrium problems ⋮ 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 ⋮ Stability of quasimonotone variational inequality under sign-continuity ⋮ On maximality of quasimonotone operators ⋮ Evolutionary quasi-variational inequality for a production economy ⋮ Extendability of continuous quasiconvex functions from subspaces ⋮ A continuity result for the adjusted normal cone operator ⋮ Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials ⋮ Limiting normal operator in quasiconvex analysis ⋮ On gap functions for multivalued Stampacchia variational inequalities ⋮ Single-directional properties of quasi-monotone operators ⋮ Variational analysis for the consumer theory ⋮ A variational approach to the maximization of preferences without numerical representation ⋮ Quasi-variational inequality problems with non-compact valued constraint maps ⋮ Quasiconvex minimization on a locally finite union of convex sets ⋮ Existence Results for Generalized Nash Equilibrium Problems under Continuity-Like Properties of Sublevel Sets ⋮ Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality ⋮ Semicontinuity of the solution map of quasivariational inequalities ⋮ Unnamed Item ⋮ The finite intersection property for equilibrium problems ⋮ Generalized Nash equilibrium problem, variational inequality and quasiconvexity ⋮ On the study of the economic equilibrium problem through preference relations ⋮ Existence results for quasi-variational inequalities with applications to Radner equilibrium problems. Resolution through variational inequalities ⋮ Variational inequalities and general equilibrium models ⋮ Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC ⋮ Variational inequalities, maximal elements and economic equilibria ⋮ A Short State of the Art on Multi-Leader-Follower Games ⋮ Generalized convex functions and generalized differentials ⋮ Unnamed Item ⋮ Existence of time-dependent traffic equilibria ⋮ Stability and existence results for quasimonotone quasivariational inequalities in finite dimensional spaces ⋮ Variational Problem, Generalized Convexity, and Application to a Competitive Equilibrium Problem
This page was built for publication: Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming