Perturbed Algorithm and Stability of a New Variational Inclusion
Zhiqian Ye · 2007
In this paper,we introduce a new generalized nonlinear mixed quasi-variational inclusion involving(h,η)-mono- tone mappings and a-h-strongly monotone mappings,and establish the generalized-graph-convergence theory about(h,η)- monotone mappings.Based on the generalized-graph-convergence theory,by using the resolvent operator technique about (h,η)-monotone mappings,we suggest a new perturbed iterative algorithm to compute approximate solutions of this class of vari- ational inequality.Further-more,we also discuss the convergence and stability of the perturbed algorithm.Our results are new,unify and generalize some corresponding results in recent literatures.