Globally and Strongly Convergent Solutions for Generalized Multi-valued Mixed Variational Inclusions
Zhou Guang-Hui · 2008
A new class of generalized multi-valued mixed variational inclusion in Banach spaces is introduced and studied: Find u∈ E,t∈ J(u),w∈ T(u),x∈ F(u),y∈ V(u),z∈ G(u),v∈ P(u) such that θ ∈ g(t)+ N(w,x,y)+ A(z,v),J,T,F,V,G,P are multi-valued mappings.Relying on the resolvent operator method and using Nadler′ s theorem,the existence theorem of solutions and auxiliary sequential,some algorithms of the problem are established,and the globally and strongly convergence of the iterative solutions are also proved.