Saddle point problems in Hadamard manifolds
Authors
S. Huang
- Department of Applied Mathematics, National Dong Hwa University, Hualien 97401, Taiwan.
Abstract
This work discusses new techniques for establishing loose saddle point theorems for multi-functions
from a product Riemannian manifold to a topological vector space.
Various useful tools based on the cone-convex properties for multi-functions
and the von Neumann intersection theorem in product manifolds are developed.
Some applications of the main results to minimax problems in manifolds are also presented.
Share and Cite
ISRP Style
S. Huang, Saddle point problems in Hadamard manifolds, Journal of Nonlinear Sciences and Applications, 18 (2025), no. 2, 85--100
AMA Style
Huang S., Saddle point problems in Hadamard manifolds. J. Nonlinear Sci. Appl. (2025); 18(2):85--100
Chicago/Turabian Style
Huang, S.. "Saddle point problems in Hadamard manifolds." Journal of Nonlinear Sciences and Applications, 18, no. 2 (2025): 85--100
Keywords
- Loose saddle point
- pointed convex cone
- cone-convexity
- minimax problem
- Riemannian manifold
- Hadamard manifold
MSC
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