SUMA Publishing Group
Results in Fixed Point Theory and Applications
2581-6047
2020
2020
MAY
19
A new iteration procedure for multivalued nonexpansive maps in uniformly convex Banach spaces
1
14
EN
Caifen
Zhang
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China.
chanjanegeoger@hotmail.com
Jinzuo
Chen
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China.
chanjanegeoger@hotmail.com
https://doi.org/10.30697/rfpta-2019-037
The aim of the paper is to introduce an iterative algorithm for finding the least norm solution of the proximal split feasibility problem. We present a damped algorithm from which strong convergence theorem is obtained in Hilbert spaces. We apply this algorithm to solve split equilibrium problem. Numerical example is included.
Proximal split feasibility problem; damped algorithm; minimum-norm; strong convergence.
https://www.researchinthefixedpointtheory.com/2020/05/19/damped-algorithm-minimum-norm-solution-proximal-split-feasibility-problem/
https://www.researchinthefixedpointtheory.com/wp-content/uploads/2020/05/222.pdf