Saddle point problems in Hadamard manifolds

Volume 18, Issue 2, pp 85--100 https://dx.doi.org/10.22436/jnsa.018.02.02
Publication Date: January 24, 2025 Submission Date: August 03, 2024 Revision Date: December 06, 2024 Accteptance Date: January 08, 2025

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.


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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


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