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An improved double projection algorithm for solving variational inequalities

delete2026-03-01
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PRE
AI
G
Grar, Hassina *
K
Kebaili, Zahira
DOI:10.1007/s11587-026-01083-ydelete
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Abstract

Abstract

En 中文
In this paper, we present a new projection method aimed to solve the variational inequalities problem. Unlike existing algorithms within the same family, our approach incorporates a distinct line search step and a novel strategy for determining the step size used in the computation of the sequence generated by the associated algorithm. These enhancements enable the development of a robust algorithm whose global convergence is proven under weak assumptions. Furthermore, the encouraging results derived from the comparative numerical study highlight the effectiveness of the proposed algorithm.
Keywords:
Variational inequalities problem
Projection methods
Line search step

Journal

R
Ricerche di Matematica
IF:
1.1
Papers:
104
Citations:
0

Organization

U
Universite Ferhat Abbas Setif
Scholars:
1.6K
Papers: 1.3K
Citations: 3