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- Title
A NEW STEPSIZE STRATEGY FOR KORPELEVICH'S ALGORITHM SOLVING VARIATIONAL INEQUALITIES.
- Authors
NGOC HAI TRINH; TRUNG DUC TRAN
- Abstract
In this paper, we propose two self-adaptive extragradient-like algorithms for solving pseudomonotone variational inequalities. We consider two cases: the mapping is Lipschitz continuous (with unknown modulus) and is not Lipschitz continuous. The step size in our algorithms can either increase or decrease at each step. This feature makes our algorithms more efficient. We also give some numerical examples to compare the performance of our algorithm with the existing one.
- Subjects
ALGORITHMS; VARIATIONAL inequalities (Mathematics); LIPSCHITZ spaces; FUNCTION spaces; DECISION making
- Publication
Applied Set-Valued Analysis & Optimization, 2024, Vol 6, Issue 3, p309
- ISSN
2562-7775
- Publication type
Academic Journal
- DOI
10.23952/asvao.6.2024.3.05