Journal
ACTA MATHEMATICA SCIENTIA
Volume 36, Issue 3, Pages 913-930Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0252-9602(16)30049-2
Keywords
strong convergence; split feasibility problem; uniformly convex; uniformly smooth; fixed point problem; right Bregman strongly nonexpansive mappings
Categories
Ask authors/readers for more resources
The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set Omega of the split feasibility problem and the set F(T) of fixed points of a right Bregman strongly nonexpansive mapping T in the setting of p-uniformly convex Banach spaces which are also uniformly smooth. By combining Mann's iterative method and the Halpern's approximation method, we propose an iterative algorithm for finding an element of the set F(T) boolean AND Omega; moreover, we derive the strong convergence of the proposed algorithm under appropriate conditions and give numerical results to verify the efficiency and implementation of our method. Our results extend and complement many known related results in the literature.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available