A GENERAL VISCOSITY EXPLICIT MIDPOINT RULE FOR QUASI-NONEXPANSIVE MAPPINGS

Giuseppe Marino,Bruno Scardamaglia,Roberta Zaccone

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS（2017）

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摘要

A generalized viscosity explicit midpoint method for quasi-nonexpansive mappings in Hilbert spaces is introduced. Strong convergence theorems are proved for quasi-nonexpansive mappings under suitable assumptions on the sequence of parameters. An application to a nonspreading, discontinuous mapping is included.

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关键词

Ordinary differential equations,explicit midpoint rule,fixed points,viscosity method,quasi-nonexpansive mappings

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