Abstract
In this paper, using a new shrinking projection method, we study the strong convergence theorem for finding a common point of the set of common fixed points of a finite family of Bregman demigeneralized mappings, common zero points of a finite family of Bregman inverse strongly monotone mappings and zero points of maximal monotone mapping in reflexive Banach space. Using this result, we get a new strong convergence theorem in Banach space. Our result extends and improves important recent results presented by many authors.
| Original language | English |
|---|---|
| Pages (from-to) | 2823-2849 |
| Number of pages | 27 |
| Journal | Optimization |
| Volume | 72 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2022 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Bregman demigeneralized map
- Bregman distance
- fixed point
- inverse strongly monotone map
- maximal monotone map
- shrinking projection method
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics