A minmax problem for parabolic systems with competitive interactions.
A simple proof of the minimax-theorem
A theorem of the alternative and a two-function minimax theorem.
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
Doubles limites ordonnées et théorèmes de minimax
On introduit une variante des “doubles limites interchangeables” de Grothendieck, les “doubles limites ordonnées” et on en déduit un théorème de maximinimax. En introduisant des conditions de convexité convenables, on transforme celui-ci en un théorème de minimax. Ces résultats permettant de retrouver de façon simple un théorème de maximinimax de Simons.
Duality models for some nonclassical problems in the calculus of variations.
Eine Variationsungleichung und Anwendungen.
Embedded maximal ellipsoids and semi-infinite optimization.
Event-triggered design for multi-agent optimal consensus of Euler-Lagrangian systems
In this paper, a distributed optimal consensus problem is investigated to achieve the optimization of the sum of local cost function for a group of agents in the Euler-Lagrangian (EL) system form. We consider that the local cost function of each agent is only known by itself and cannot be shared with others, which brings challenges in this distributed optimization problem. A novel gradient-based distributed continuous-time algorithm with the parameters of EL system is proposed, which takes the distributed...
Existence of geodesics for the Lorentz metric of a stationary gravitational field
Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.
Fixed points and minimax inequalities.
Generic finiteness in solving optimal control problems
Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
Mathematical programming problems involving continuum of inequality constraints
Méthodes stochastiques de dualité
Minimax control of a linear system with multinomial disturbances
Minimax control of a multivariate time-continuous linear stochastic system
Minimax control of nonlinear evolution equations
In this paper we study the minimax control of systems governed by a nonlinear evolution inclusion of the subdifferential type. Using some continuity and lower semicontinuity results for the solution map and the cost functional respectively, we are able to establish the existence of an optimal control. The abstract results are then applied to obstacle problems, semilinear systems with weakly varying coefficients (e.gȯscillating coefficients) and differential variational inequalities.
Morse-Conley theory for minimal surfaces of varying topological type.