zhenyu huang | Université du Luxembourg (original) (raw)

Papers by zhenyu huang

Journal of Mathematical Analysis and Applications, 2002

In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongl... more In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation T x = f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.  2002 Published by Elsevier Science (USA).

Applied Mathematics and Computation, 2007

In this paper, we suggest and analyze three-step iteration methods for finding the common element... more In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of the mixed variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results are new and interesting and include the previous results as special cases.

Applied Mathematics and Computation, 2007

In this paper, we introduce and consider a new system of variational inequalities involving two d... more In this paper, we introduce and consider a new system of variational inequalities involving two different operators. Using the projection technique, we suggest and analyze new explicit iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this paper continue to hold for these problems. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.

Journal of Mathematical Analysis and Applications, 2002

In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongl... more In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation T x = f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.  2002 Published by Elsevier Science (USA).

Applied Mathematics and Computation, 2007

In this paper, we suggest and analyze three-step iteration methods for finding the common element... more In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of the mixed variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results are new and interesting and include the previous results as special cases.

Applied Mathematics and Computation, 2007

In this paper, we introduce and consider a new system of variational inequalities involving two d... more In this paper, we introduce and consider a new system of variational inequalities involving two different operators. Using the projection technique, we suggest and analyze new explicit iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this paper continue to hold for these problems. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.

Journal of Mathematical Analysis and Applications, 2002

In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongl... more In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation T x = f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.  2002 Published by Elsevier Science (USA).

Applied Mathematics and Computation, 2007

In this paper, we suggest and analyze three-step iteration methods for finding the common element... more In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of the mixed variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results are new and interesting and include the previous results as special cases.

Applied Mathematics and Computation, 2007

In this paper, we introduce and consider a new system of variational inequalities involving two d... more In this paper, we introduce and consider a new system of variational inequalities involving two different operators. Using the projection technique, we suggest and analyze new explicit iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this paper continue to hold for these problems. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.

Journal of Mathematical Analysis and Applications, 2002

In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongl... more In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation T x = f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.  2002 Published by Elsevier Science (USA).

Applied Mathematics and Computation, 2007

In this paper, we suggest and analyze three-step iteration methods for finding the common element... more In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of the mixed variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results are new and interesting and include the previous results as special cases.

Applied Mathematics and Computation, 2007

In this paper, we introduce and consider a new system of variational inequalities involving two d... more In this paper, we introduce and consider a new system of variational inequalities involving two different operators. Using the projection technique, we suggest and analyze new explicit iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this paper continue to hold for these problems. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.