A Theorem of Iterative Approximation of Zero Point for Maximal Monotone Operator in Banach Space
Zhou Hai-yun · Journal of Mathematical Research and Exposition · 2007
Let E be a real smooth and uniformly convex Banach space, and E its duality space. Let A ■ E×E be a maximal monotone operator with A-10≠■ . A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator A by using the techniques of Lyapunov functional, Qr operator and generalized projection operator, etc.