Abstract
We introduce a new algorithm to approximate a solution of split variational inclusion problems of multivalued maximal monotone operators in uniformly convex and uniformly smooth Banach spaces under the Bregman distance. A strong convergence theorem for the above problem is established and several important known results are deduced as corollaries to it. As application, we solve a split minimization problem and provide a numerical example to support better findings of our result.
| Original language | English |
|---|---|
| Pages (from-to) | S2417-S2431 |
| Journal | RAIRO - Operations Research |
| Volume | 55 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© EDP Sciences, ROADEF, SMAI 2021.
Keywords
- Bregman distance
- Maximal monotone operators
- Split variational inclusion problem
- Strong convergence
- Uniformly convex and uniformly smooth Banach space
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science Applications
- Management Science and Operations Research
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