An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces

作者：Suantai Suthep^*; Cholamjiak Watchara****; Cholamjiak Prasit

来源：Applied Mathematics Letters, 2012, 25(11): 1656-1660.

DOI：10.1016/j.aml.2012.01.032

• Multi-valued mapping
• Fixed point
• Strong convergence
• Implicit iteration

This work is concerned with the strong convergence of an approximating common fixed point sequence of a finite family of multi-valued mappings in a uniformly convex and smooth Banach space using an implicit iteration scheme introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].

• 出版日期2012-11