Abstract. In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approxi-mating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the al-gorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions. 1
AbstractWe provide a general theorem for the convergence of some projection methods with perturbatio...
AbstractIn this paper, we introduce an iterative method for finding a common element of the set of s...
Sufficient conditions are found for the asymptotic optimality of projection methods as applied to li...
Abstract. A class of globally convergent iterative methods for solving nonlinear projection equation...
AbstractThis paper discusses the solving methods for nonlinear systems. Firstly, basing on the techn...
In this paper, we introduce a new iterative scheme by combining the hyperplane projection method and...
The notion of projected dynamical systems is relatively new, being introduced in the mathematical li...
We consider a block version of the Nonlinear Projection Method under an optimal control. This method...
Abstract In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These...
AbstractIn this paper, we suggest and analyze two projection methods (one implicit and one explicit)...
AbstractFirst a general model for two-step projection methods is introduced and second it has been a...
AbstractThe approximate solution of a system for variational inequality with different mapping in Hi...
Abstract. A new identity is given in this paper for estimating the norm of the product of nonexpansi...
AbstractWe consider viscosity approximations by using the shrinking projection method established by...
AbstractThe nonlinear projection methods are minimization procedures for solving systems of nonlinea...
AbstractWe provide a general theorem for the convergence of some projection methods with perturbatio...
AbstractIn this paper, we introduce an iterative method for finding a common element of the set of s...
Sufficient conditions are found for the asymptotic optimality of projection methods as applied to li...
Abstract. A class of globally convergent iterative methods for solving nonlinear projection equation...
AbstractThis paper discusses the solving methods for nonlinear systems. Firstly, basing on the techn...
In this paper, we introduce a new iterative scheme by combining the hyperplane projection method and...
The notion of projected dynamical systems is relatively new, being introduced in the mathematical li...
We consider a block version of the Nonlinear Projection Method under an optimal control. This method...
Abstract In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These...
AbstractIn this paper, we suggest and analyze two projection methods (one implicit and one explicit)...
AbstractFirst a general model for two-step projection methods is introduced and second it has been a...
AbstractThe approximate solution of a system for variational inequality with different mapping in Hi...
Abstract. A new identity is given in this paper for estimating the norm of the product of nonexpansi...
AbstractWe consider viscosity approximations by using the shrinking projection method established by...
AbstractThe nonlinear projection methods are minimization procedures for solving systems of nonlinea...
AbstractWe provide a general theorem for the convergence of some projection methods with perturbatio...
AbstractIn this paper, we introduce an iterative method for finding a common element of the set of s...
Sufficient conditions are found for the asymptotic optimality of projection methods as applied to li...