New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds
Open Access
- 22 February 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Fixed Point Theory and Algorithms for Sciences and Engineering
- Vol. 2021 (1), 1-20
- https://doi.org/10.1186/s13663-021-00689-1
Abstract
We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudomonotone and Lipschitz continuous vector fields, we prove that any sequence generated by the proposed methods converges to a solution of variational inequality problem, whenever it exits. Moreover, we give some numerical experiments to illustrate our main results.Keywords
Funding Information
- Thailand Science Research and Innovation (TSRI) Basic Research Fund: Fiscal year 2021 (64A306000005)
- The Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT, Thailand
- Postdoctoral Fellowship from King Mongkut’s University of Technology Thonburi (KMUTT), Thailand.
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