Author:
Abuchu Jacob A.,Ofem Austine E.,Işık Hüseyin,Ugwunnadi Godwin C.,Narain Ojen K.
Abstract
AbstractIn this paper, we introduce and study a viscous-type extrapolation algorithm for finding a solution of the variational inequality problem and a fixed point constraint of quasi-nonexpansive mappings under the scope of real Hilbert spaces when the underlying cost operator is quasi-monotone. The method involves inertial viscosity approximation and a constructed self-adjustable step size condition that depends solely on the information of the previous step. We establish a strong convergence result of the proposed method under certain mild conditions on the algorithm parameters. Finally, to demonstrate the gain of our method, some numerical examples are presented in comparison with some related methods in literature.
Publisher
Springer Science and Business Media LLC
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