APPROXIMATION OF COMMON FIXED POINTS OF FAMILIES OF NONEXPANSIVE MAPPINGS
作者： P. Cubiotti , J. C. Yao , L. C. Ceng
关键词: Fixed point 、 Common fixed point 、 Lambda 、 Mathematics 、 Scheme (mathematics) 、 Hilbert space 、 Duality (optimization) 、 Discrete mathematics 、 Banach space
摘要: Let $X$ be a reflexive and smooth Banach space which has weakly sequentially continuous duality mapping. We consider in this paper the iteration scheme $x_{n+1}=\lambda_{n+1}y+(1-\lambda_{n+1})T_{n+1}x_n$ for infinitely many nonexpansive maps $T_1,T_2,T_3,...$ as well finitely retraction. establish several strong convergence results generalize [10, Theorem 3.3] 4.1] from Hilbert setting to setting.
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