Existence and iterative algorithm of solutions for a new class of generalized nonlinear variational inequalities
Haiyan Gao · Journal of Liaoning Technical University · 2013
In order to solve a new class of generalized nonlinear variational inequalities problem,the definition of strongly monotone mapping and Lipschitz continuous are given in this paper.Using the auxiliary principle technique,the existence theorem of solutions for this kind of generalized nonlinear variational inequalities,which involving a coercive continuous bilinear form and a nonlinear form,is investigated.Furthermore,the author has developed a new iterative scheme,and discussed the convergence of the sequence generated by the iterative algorithm.The results in this study have extended and improved the corresponding studies documented.