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Inertial KM-type extragradient scheme for solving a variational inequality and a hierarchical fixed point problems
Journal article   Open access  Peer reviewed

Inertial KM-type extragradient scheme for solving a variational inequality and a hierarchical fixed point problems

Ghada AlNemer, Rehan Ali and K. R. Kazmi
Journal of inequalities and applications, Vol.2021(1), pp.1-14
22/02/2021
DOI: https://doi.org/10.1186/s13660-021-02565-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalizes and unifies a number of known iterative schemes. Furthermore, we discuss the weak convergence for the proposed scheme. We also discuss an example to illustrate the main theorem.
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https://doi.org/10.1186/s13660-021-02565-3View
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