Strong Iterative Convergence Theorem of Common Zero Points For Finite Accretive Operators in Banach Space
Zhou Hai-yun · Shuxue de shijian yu renshi · 2009
Let E be a real reflexive Banach space with uniformly Gteaux differential norm and AiE×E,i=1,2,…,k be accretive operators.Suppose that ∩ki=1A-1i(0)≠φ. Let CE be a nonempty closed convex set and satisfy that D(Ai)C∩r0R(I+rAi), for i=1,2,…,k. A proximal iterative algorithm is introduced which is proved to be strongly convergent to common zero points of accretive operators {Ai}ki=1.