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 |
|---|---|
| Journal | Optimization |
| DOIs | |
| State | Accepted/In press - 2022 |
Bibliographical note
Funding Information:The authors wish to express their gratitude to the anonymous reviewers and the Associate editor for making very vital observations and comments that improve the presentation of the paper. The author A. R. Khan is grateful to King Fahd University of Petroleum and Minerals for supporting this research work.
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