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| Paper IPM / M / 17616 |
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| Abstract: | |
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In this paper, we consider a variational inequality problem which is defined over the intersection of the set of common fixed points of a finite family of generalized demimetric mappings and the set of common zero points of a finite family of maximal monotone
mappings. We propose an iterative algorithm combines the hybrid steepest descent method with the inertial technique to solve such a variational inequality problem. The strong convergence of the proposed algorithm is proved without knowing any informa-
tion of the Lipschitz and strongly monotone constants of the mapping. The results of
this paper improve and extend several known results in the literature
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