Name
Title | ||
|---|---|---|
An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces |
Abstract | ||
|---|---|---|
In this paper, we propose an iterative technique with residual vectors for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of a split inclusion problem (SIP) with a way of selecting the stepsizes without prior knowledge of the operator norm in the framework of p-uniformly convex and uniformly smooth Banach spaces. Then strong convergence of the proposed algorithm to a common element of the above two sets is proved. As applications, we apply our result to find the set of common fixed points of a family of mappings which is also a solution of the SIP. We also give a numerical example and demonstrate the efficiency of the proposed algorithm. The results presented in this paper improve and generalize many recent important results in the literature. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s40314-019-0766-z | Computational and Applied Mathematics |
Keywords | DocType | Volume |
Resolvent operator, Relatively nonexpansive mapping, Strong convergence, Iterative methods, Banach spaces, 47H09, 47H10, 47J25, 47J05 | Journal | 38 |
Issue | ISSN | Citations |
1 | 2238-3603 | 0 |
PageRank | References | Authors |
0.34 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Prasit Cholamjiak | 1 | 27 | 8.06 |
| Suthep Suantai | 2 | 43 | 15.06 |
| Pongsakorn Sunthrayuth | 3 | 8 | 2.78 |