Quasimonotone quasivariational inequalities: existence results and applications
From MaRDI portal
Publication:378281
DOI10.1007/s10957-013-0270-3zbMath1284.49014OpenAlexW1985349280MaRDI QIDQ378281
Publication date: 11 November 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0270-3
Nonconvex programming, global optimization (90C26) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Traffic problems in operations research (90B20)
Related Items
New existence criteria of the solutions for a variational relation problem ⋮ A cutting hyperplane projection method for solving generalized quasi-variational inequalities ⋮ Variational formulation of a general equilibrium model with incomplete financial markets and numeraire assets: existence ⋮ On quasimonotone Stampacchia variational inequalities on Hadamard manifolds ⋮ Quasi-variational problems with non-self map on Banach spaces: existence and applications ⋮ On the existence of projected solutions of quasi-variational inequalities and generalized Nash equilibrium problems ⋮ Solving Equilibrium Problems with Bifunctions Having the Property of Negative Transitivity ⋮ Maximal quasimonotonicity and dense single-directional properties of quasimonotone operators ⋮ Stability of quasimonotone variational inequality under sign-continuity ⋮ Variational relations problems via fixed points of contraction mappings ⋮ Approximating quasiconvex functions with strictly quasiconvex ones in Banach space ⋮ A note on quasi-equilibrium problems ⋮ Evolutionary quasi-variational inequality for a production economy ⋮ New criteria for existence of solutions for equilibrium problems ⋮ Single-Leader-Radner-equilibrium: a new approach for a class of bilevel problems under uncertainty ⋮ Existence of projected solutions for quasi-variational hemivariational inequality ⋮ A continuity result for the adjusted normal cone operator ⋮ Projected solutions for generalized quasivariational inequalities without compact constraint multimap ⋮ Limiting normal operator in quasiconvex analysis ⋮ Single-directional properties of quasi-monotone operators ⋮ Quasi-variational inequality problems with non-compact valued constraint maps ⋮ Existence Results for Generalized Nash Equilibrium Problems under Continuity-Like Properties of Sublevel Sets ⋮ Unnamed Item ⋮ The finite intersection property for equilibrium problems ⋮ Quasi-equilibrium problems with non-self constraint map ⋮ An existence result for quasi-equilibrium problems via Ekeland's variational principle ⋮ Quasi-Variational Inequality Problems over Product Sets with Quasi-monotone Operators ⋮ Common fixed point theorems for set-valued mappings in normed spaces ⋮ Existence results for quasi-variational inequalities with applications to Radner equilibrium problems. Resolution through variational inequalities ⋮ Variational inequalities and general equilibrium models ⋮ Sharp estimates for approximate and exact solutions to quasi-optimization problems ⋮ A dynamical approach for the quantitative stability of parametric bilevel equilibrium problems and applications ⋮ Stability and existence results for quasimonotone quasivariational inequalities in finite dimensional spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal quasimonotonicity and dense single-directional properties of quasimonotone operators
- Stability of quasimonotone variational inequality under sign-continuity
- Semicontinuity of the solution map of quasivariational inequalities
- Generalized Nash equilibrium problems for lower semi-continuous strategy maps
- On quasimonotone variational inequalities.
- Quasiconvex minimization on a locally finite union of convex sets
- Optimal control of a quasi-variational obstacle problem
- Generalized Nash equilibrium problem, variational inequality and quasiconvexity
- Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
- Continuity properties of the normal cone to the level sets of a quasiconvex function
- Ein Erweiterungssatz für monotone Mengen
- The internet, evolutionary variational inequalities, and the time-dependent Braess paradox
- Existence of closed graph, maximal, cyclic pseudo-monotone relations and revealed preference theory
- Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems
- On the solution existence of generalized quasivariational inequalities with discontinuous multi\-functions
- A taste of topology
- Time-dependent variational inequalities and applications to equilibrium problems
- Existence of time-dependent traffic equilibria
- Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
- Nonlinear monotone operators and convex sets in Banach spaces
- Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis
- Generalized Nash equilibrium problems