Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces
The authors extend a result of \textit{Y.-H. Yao}, \textit{M. A. Noor} and \textit{S. T. Mohyud-Din} [J. Appl. Math. Stochastic Anal. 2009, Article ID 320820 (2009; Zbl 1220.47137)] from Hilbert spaces to general Banach spaces. They introduce a general iterative scheme, under some mild conditions, to find a common fixed point of nonexpansive maps which is a unique solution of some variational inequality. The results are applied to solve some optimization problems.
scientific article; zbMATH DE number 6082793