An Armijo-Type viscosity algorithm for continuous equilibrium problems without monotonicity on Hadamard manifolds

被引：0

作者：

Yang, Wanning ^{[1
]}

Wang, Lin ^{[2
,3
]}

Ma, Zhaoli ^{[4
]}

Yan, Liang ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Longquan Rd, Kunming 650221, Yunnan, Peoples R China

[2] Yunnan Univ Finance & Econ, Yunnan Key Lab Serv Comp, Longquan Rd, Kunming 650221, Yunnan, Peoples R China

[3] Yunnan Univ Finance & Econ, Inst Intelligence Applicat, Longquan Rd, Kunming 650221, Yunnan, Peoples R China

[4] Yunnan Open Univ, Coll Publ Fdn, Yuhua St, Kunming 650500, Yunnan, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2025年

关键词：

Equilibrium problem without monotonicity; Algorithm; Convergence; Hadamard manifold; PROXIMAL POINT ALGORITHM; VARIATIONAL-INEQUALITIES; EXTRAGRADIENT METHOD; VECTOR-FIELDS; CONVERGENCE; PRINCIPLE;

D O I：

10.1007/s11075-025-02183-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an Armijo-Type viscosity algorithm is proposed to solve continuous equilibrium problems without monotonicity on Hadamard manifolds. The iterative sequence generated by the algorithm is shown to converge to a solution of these equilibrium problems on Hadamard manifold under some mild conditions. Meanwhile, the convergence rate of the algorithm is obtained. In addition, the results obtained in this paper is used to solve variational inequality problems and convex minimization problems, and two numerical experiments are provided to verify the effectiveness of the algorithm.

引用

页数：27

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