New Convergence Theorems for Pseudomonotone Variational Inequality on Hadamard Manifolds

被引：0
|
作者：
Ma, Zhaoli [1 ,2 ]
Wang, Lin [3 ,4 ]
机构：
[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Peoples R China
[2] Yunnan Open Univ, Coll Publ Fdn, Kunming 650500, Peoples R China
[3] Yunnan Univ Finance & Econ, Yunnan Key Lab Serv Comp, Kunming 650221, Peoples R China
[4] Yunnan Univ Finance & Econ, Inst Intelligence Applicat, Kunming 650221, Peoples R China
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 11期
基金：
中国国家自然科学基金;
关键词：
pseudomonotone mapping; variational inequality; Hadamard manifold; subgradient extragradient method; viscosity method; PROXIMAL POINT ALGORITHM; MONOTONE VECTOR-FIELDS; INCLUSION PROBLEMS; ITERATIVE ALGORITHMS; FIXED-POINTS; OPERATORS;
D O I：
10.3390/sym15112085
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we propose an efficient viscosity type subgradient extragradient algorithm for solving pseudomonotone variational inequality on Hadamard manifolds which is of symmetrical characteristic. Under suitable conditions, we obtain the convergence of the iteration sequence generated by the proposed algorithm to a solution of a pseudomonotone variational inequality on Hadamard manifolds. We also employ our main result to solve a constrained convex minimization problem and present a numerical experiment to illustrate the asymptotic behavior of the algorithm. Our results develop and improve some recent results.
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页数：17
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