Complementarity problem for -monotone-type maps.
Continuity properties of best analytic approximation.
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.