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arxiv: 1005.4318 · v1 · pith:525ZXQEZnew · submitted 2010-05-24 · 🧮 math.FA · math.NA· math.OC

A Solution of variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces

classification 🧮 math.FA math.NAmath.OC
keywords familyfinitefixedhilbertinequalitymappingsnonexpansivevariational
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In this paper we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the the variational inequality on the fixed points set.

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