Abstract
In this paper, we study a new class of vector equilibrium problems associated with partial order provided by p-order cone on Hadamard manifolds. We first propose a new concept of Kj-convexity of a vector-valued function in the setting of Hadamard manifolds and derive some regularized gap functions of the concerning problem. Then, several upper bounds for vector equilibrium problems associated with p-order cone are established via regularized gap functions. At last, we present some examples to illustrate our main results in the paper.
| Original language | English |
|---|---|
| Pages (from-to) | 2593-2609 |
| Number of pages | 17 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 24 |
| Issue number | 12 |
| Publication status | Published - 2023 |
Keywords
- Hadamard manifold
- p-order cone
- Regularized gap function
- Upper bound
- Vector equilibrium problem
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics