On equilibrium problems.
On exact null controllability of Black-Scholes equation
In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem with ...
On existence of equilibria of set-valued maps
The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.
On existence of equilibrium pair for constrained generalized games.
On solvability of a generalized nonlinear variational-like inequality.
On subdifferentials of convex functions
On the controllability of fractional dynamical systems
This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.
On the existence of a maximal element of multivalued mappings in -spaces.
On two iterative methods for mixed monotone variational inequalities.
One counterexample concerning the Fréchet differentiability of convex functions on closed sets