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A New Approach About Equilibrium Problems via Busemann Functions.
- Source :
-
Journal of Optimization Theory & Applications . Jan2024, Vol. 200 Issue 1, p428-436. 9p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider the resolvent via Busemann functions introduced by Bento, Cruz Neto, Melo (J Optim Theory Appl 195:1087–1105, 2022), and we present a proximal point method for equilibrium problems on Hadamard manifold. The resolvent in consideration is a natural extension of its counterpart in linear settings, proposed and analyzed by Combettes and Hirstoaga (J Nonlinear Convex Anal 6:117–136, 2005). The advantage of using this resolvent is that the term performing regularization is a convex function in general Hadamard manifolds, allowing us to explore the asymptotic behavior of the proximal point method to solve equilibrium problems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUILIBRIUM
*CONVEX functions
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 200
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174877247
- Full Text :
- https://doi.org/10.1007/s10957-023-02356-4