A CLASS OF GENERALIZED SET-VALUED MIXED NONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSION IN BANACH SPACES
Jiangrong Liu · Journal of Wuhan Polytechnic University · 2006
In this paper,we introduce a class of generalized set-valued mixed nonlinear implicit quasi-variational inclusion in Banach spaces. By using Nadler's Theorem and the implicit resolvent operator technique for m-accretive mapping,we construct some new iterative algorithms for solving this class of generalized set-valued variational inclusions.We prove the existence of solution for this kind of set-valued variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces.