1. PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND FIXED POINTS.
- Author
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CENG, L. C., PETRUȘEL, A., QIN, X., and YAO, J. C.
- Subjects
- *
NONEXPANSIVE mappings , *SUBGRADIENT methods , *HILBERT space , *ALGORITHMS , *VISCOSITY - Abstract
We introduce two new iterative algorithms with line-search process for solving a variational inequality problem with pseudomonotone and Lipschitz continuous mapping and a common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping. The proposed algorithms are based on inertial subgradient extragradient method with line-search process, hybrid steepest-descent method, and viscosity approximation method. Under mild conditions, we prove strong convergence of the proposed algorithms in a real Hilbert space. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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