Abstract
The present paper proposes two iterative algorithms, namely, Mann type and Halpern type, for finding a common solution of the pseudomonotone variational inequality problems and a fixed point problem of nonexpansive mappings in the setting of Hadamard manifolds. The convergence analysis of the proposed algorithms is studied without prior knowledge of the Lipschitz constant of the involved vector field. A computational experiment to illustrate the efficiency of the proposed algorithms is given.
| Original language | English |
|---|---|
| Pages (from-to) | 1043-1063 |
| Number of pages | 21 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 24 |
| Issue number | 5 |
| State | Published - 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023 Yokohama Publications. All rights reserved.
Keywords
- Hadamard manifolds
- Variational inequality problems
- fixed point problems
- nonexpansive mappings
- pseudomonotone vector fields
- tCorresponding author
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics