Abstract
In this paper, we establish a Browder type fixed point theorem in the setting of Hadamard manifolds and derive a maximal element theorem, Ky Fan section theorem and equilibrium existence theorem for one person game. By using these results, we derive the existence of solutions of quasi-equilibrium problems in the setting of Hadamard manifolds. Some special cases of quasi-equilibrium problems are also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 2397-2409 |
| Number of pages | 13 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 20 |
| Issue number | 11 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 Yokohama Publications. All rights reserved.
Keywords
- Browder type fixed point theorem
- Hadamard manifolds
- Maximal element theorem
- Quasi-equilibrium problems
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics