ON STRONG CONVERGENCE OF VISCOSITY TYPE METHOD USING AVERAGED TYPE MAPPINGS

F. Cianciaruso,G. Marino,A. Rugiano,B. Scardamaglia

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS（2015）

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摘要

In this paper we introduce a viscosity type algorithm to strongly approximate solutions of variational inequalities in the setting of Hilbert spaces. Moreover, depending on the hypothesis on the coefficients involved on the scheme, these solutions are common fixed points of a nonexpansive mapping and of a L-hybrid mapping or fixed points of one of them.

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关键词

Variational inequality,strongly monotone and Lipschtiz continuous operators,nonexpansive mappings,L-hybrid mappings,averaged type mappings

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