Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

Yanlai Song, Lu-Chuan Ceng · Fixed Point Theory and Applications · 2015

Abstract The purpose of this paper is to present a new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional Banach spaces. Under mild conditions, a strong convergence theorem for approximating this common solution is proved. The methods in the paper are novel and different from those in the early and recent literature.

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