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Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7641
Abstract: In this work, a new algorithm is suggested to solve the variational inequality problems for Lipschitz continuous and monotone operators and the fixed point problems for quasi‐nonexpansive operators. This algorithm is constructed based on the…
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Keywords:
quasi nonexpansive;
inertial subgradient;
nonexpansive operators;
variational inequality ... See more keywords
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Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0468-9
Abstract: In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive mappings and the solution set of the single-valued variational inequality problem. Under…
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Keywords:
subgradient type;
single valued;
valued variational;
inertial subgradient ... See more keywords
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Published in 2020 at "Optimization Letters"
DOI: 10.1007/s11590-019-01511-z
Abstract: In this paper, two new algorithms are introduced for solving a pseudomontone variational inequality problem with a Lipschitz condition in a Hilbert space. The algorithms are constructed around three methods: the subgradient extragradient method, the…
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Keywords:
self adaptive;
subgradient extragradient;
variational inequality;
inertial subgradient ... See more keywords