A Strong Convergence Theorem for Solving an Equilibrium Problem and a Fixed Point Problem Using the Bregman Distance

Mostafa Ghadampour (), Ebrahim Soori (), Ravi P. Agarwal () and Donal O’Regan ()
Additional contact information
Mostafa Ghadampour: Payame Noor University
Ebrahim Soori: Lorestan University
Ravi P. Agarwal: Texas A &M University-Kingsville
Donal O’Regan: National University of Ireland

Journal of Optimization Theory and Applications, 2022, vol. 195, issue 3, No 5, 854-877

Abstract: Abstract In this paper, using the Bregman distance, we introduce a new projection-type algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points. Then the strong convergence of the sequence generated by the algorithm will be established under suitable conditions. Finally, using MATLAB software, we present a numerical example to illustrate the convergence performance of our algorithm.

Keywords: Variational inequality; Bregman nonexpansive mapping; Fixed point problem; Fréchet differentiable; Asymptotical fixed point; 47H09; 47H10 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-022-02110-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:195:y:2022:i:3:d:10.1007_s10957-022-02110-2

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-022-02110-2

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().