Existence and approximation problems of solutions to a cass of variational inclusions with lipschitz condition in banach spaces
Feng Gu · Journal of Natural Science of Heilongjiang University · 2006
A new class of variational inclusions problem with accretive type mappings in real reflexive Banach spaces is introduced and studied. Under the lack of the condition lim_ n→∞ α_n=0 and lim_ n→∞ β_n=0, the existence and uniqueness of solutions to the class of variational inclusions and the convergence of Ishikawa iteration process with mixed errors for approximating solutions are proved. The presented results improve, extend and unify many corresponding results of Chang [3,9], Zhao-Xu [4], Ding [10] and Zeng [11-12].