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- W3202584310 abstract "In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed point problem (FPP) in Hilbert spaces. Our proposed methods involve a projection onto a half-space and self-adaptive step size. We prove that the sequence generated by our proposed methods converges strongly to a common solution of the VIP and FPP of an infinite family of strict pseudo-contractive mappings in Hilbert spaces under some mild assumptions when the underlying operator is monotone and Lipschitz continuous. Furthermore, we apply our results to find a common solution of VIP and zero-point problem (ZPP) for an infinite family of maximal monotone operators. Finally, we provide some numerical experiments of the proposed methods in comparison with other existing methods in the literature." @default.
- W3202584310 created "2021-10-11" @default.
- W3202584310 creator A5037144004 @default.
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- W3202584310 date "2021-09-26" @default.
- W3202584310 modified "2023-10-02" @default.
- W3202584310 title "Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems" @default.
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- W3202584310 doi "https://doi.org/10.1080/02331934.2021.1981897" @default.
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