Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces
Shih-sen Chang, Ching‐Feng Wen, Jen‐Chih Yao · Optimization · 2018
The purpose of this article is to propose a splitting algorithm for finding a common zero of a finite family of inclusion problems of accretive operators in Banach space. Under suitable conditions, some strong convergence theorems of the sequence generalized by the algorithm to a common zero of the inclusion problems are proved. Some applications to the convex minimization problem, common fixed point problem of a finite family of pseudocontractive mappings, and accretive variational inequality problem in Banach spaces are presented.