Continuity properties of projection operators.
Controllability of nonlinear impulsive Ito type stochastic systems
In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.
Controllability of nonlinear stochastic systems with multiple time-varying delays in control
This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of...
Convergence theorems on generalized equilibrium problems and fixed point problems with applications.
Critical point theorems for nonlinear dynamical systems and their applications.
Dykstra's algorithm as the nonlinear extension of Bregman's optimization method.
Epi/hypo-convergence: The slice topology and saddle points approximation.
Equilibrium points of random generalized games.
Existence of solutions and algorithm for a system of variational inequalities.
Existence of solutions for -generalized vector variational-like inequalities.
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems.
Existence theorems of solutions for a system of nonlinear inclusions with an application.
Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method.
Finding minimum norm fixed point of nonexpansive mappings and applications.
Fixed point theorems in locally convex spaces -- the Schauder mapping method.
Fixed points and variational principle in uniform spaces.
General method of regularization. I: Functionals defined on BD space
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. In part II, we will show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we will prove the existence theorem for the limit analysis problem.
General method of regularization. II: Relaxation proposed by suquet
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. We show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we prove an existence theorem for the limit analysis problem.
General method of regularization. III: The unilateral contact problem
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, we show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. We deduce that...
Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.