Abstract
The present paper studies two explicit extragradient-like algorithms for solving equilibrium problems involving a pseudomonotone and Lipschitz-type bifunction in the setting of Hadamard manifolds. A new step size rule has been studied which does not depend on the information of the Lipschitz-type constants. The convergence and the R-linear rate of convergence of the proposed algorithms are studied.
| Original language | English |
|---|---|
| Pages (from-to) | 425-439 |
| Number of pages | 15 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 21 |
| Issue number | 2 |
| State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020 Yokohama Publications. All rights reserved.
Keywords
- Equilibrium problems
- Explicit extragradient-like algorithms
- Hadamard manifolds
- Lipschitz-type condition
- Pseu¬domonotone bifunctions
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics