The general mixed quasi variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due...The general mixed quasi variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term φ are equivalent to the fixed point problems and resolvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method.展开更多
In this paper,we introduce and study a new class of quasi variational inequalities.Using'essentially the projection technique and its variant forms,we establish the equivalence between generalized nonlinear quasi ...In this paper,we introduce and study a new class of quasi variational inequalities.Using'essentially the projection technique and its variant forms,we establish the equivalence between generalized nonlinear quasi variational inequalities and the fixed point problems.This equivalence is then used to suggest and analyze a number of new iterative algorithms.These new results include the corresponding known results for generalized quasi variational inequalities as special cases.展开更多
In this paper, a perturbed iterative method for solving a general class of quasi variational inclusions was studied. The existence and convergence of solution were proved. Furthermore, a new iterative method for solv...In this paper, a perturbed iterative method for solving a general class of quasi variational inclusions was studied. The existence and convergence of solution were proved. Furthermore, a new iterative method for solving a general class of quasi variational inclusions was proposed. The continuity of the perturbed solution was also proved for a parametric variational inclusion problem. Several special cases were discussed.展开更多
基金This research was supported by MOEC (20060284001)NSFC (70371019 and 10571083)supported partly by NSFC 70571034
文摘The general mixed quasi variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term φ are equivalent to the fixed point problems and resolvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method.
文摘In this paper,we introduce and study a new class of quasi variational inequalities.Using'essentially the projection technique and its variant forms,we establish the equivalence between generalized nonlinear quasi variational inequalities and the fixed point problems.This equivalence is then used to suggest and analyze a number of new iterative algorithms.These new results include the corresponding known results for generalized quasi variational inequalities as special cases.
文摘In this paper, a perturbed iterative method for solving a general class of quasi variational inclusions was studied. The existence and convergence of solution were proved. Furthermore, a new iterative method for solving a general class of quasi variational inclusions was proposed. The continuity of the perturbed solution was also proved for a parametric variational inclusion problem. Several special cases were discussed.
