LET E be a real Banach space with norm ||·||,E~* a uniformly convex dual space.Let K bea nonempty closed convex and bounded subset of E,T:K→K a continuous strongly pseudo-contractive mapping.Recently,Chidume pro...LET E be a real Banach space with norm ||·||,E~* a uniformly convex dual space.Let K bea nonempty closed convex and bounded subset of E,T:K→K a continuous strongly pseudo-contractive mapping.Recently,Chidume proved that the Mann iterative sequence of contin-展开更多
Suppose that X is a real Banach space, H: X→X is a Lipschitz operator, T: X→X is a uniformly continuous operator with bounded range, and H+T is strongly accretive. Then the Ishikawa iteration process...Suppose that X is a real Banach space, H: X→X is a Lipschitz operator, T: X→X is a uniformly continuous operator with bounded range, and H+T is strongly accretive. Then the Ishikawa iteration process converges strongly to the unique solution of the equation Hx+Tx=f . This conclusion extends the corresponding results in recent papers.展开更多
文摘LET E be a real Banach space with norm ||·||,E~* a uniformly convex dual space.Let K bea nonempty closed convex and bounded subset of E,T:K→K a continuous strongly pseudo-contractive mapping.Recently,Chidume proved that the Mann iterative sequence of contin-
文摘Suppose that X is a real Banach space, H: X→X is a Lipschitz operator, T: X→X is a uniformly continuous operator with bounded range, and H+T is strongly accretive. Then the Ishikawa iteration process converges strongly to the unique solution of the equation Hx+Tx=f . This conclusion extends the corresponding results in recent papers.