Iterative methods for solving split feasibility problems and fixed point problems in Banach spaces

Min Liu, Shih-Sen Changb, Ping Zuo, Xiaorong Li
2019 Filomat  
In this paper, we consider a class of split feasibility problems in Banach space. By using shrinking projective method and the modified proximal point algorithm, we propose an iterative algorithm. Under suitable conditions some strong convergence theorems are proved. Our results extend a recent result of Takahashi-Xu-Yao (Set-Valued Var. Anal. 23, 205-221 (2015)) from Hilbert spaces to Banach spaces. Moreover, the method of proof is also different. , for all n ∈ N. From the monotonicity of B,
more » ... onotonicity of B, we have that 0 ≤ u −
doi:10.2298/fil1916345l fatcat:in2kyxnqjzh23cxpvz2y5s3pg4