Wenling Li, Shengju Yang, Forcing strong convergence of a viscosity iteration for nonexpansive and cocoercive operators in a Hilbert space, Vol. 2022 (2022), Article ID 15, pp. 1-10

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DOI: 10.23952/jnfa.2022.15

Received January 9, 2022; Accepted March 28, 2022; Published April 25, 2022

 

Abstract A viscosity iteration is introduced and considered for nonexpansive operators and the variational inequality with cocoercive operators. A common element theorem of strong convergence is established in the setting of Hilbert space without compact restrictions.

 

How to Cite this Article:
W. Li, S. Yang, Forcing strong convergence of a viscosity iteration for nonexpansive and cocoercive operators in a Hilbert space, J. Nonlinear Funct. Anal. 2022 (2022) 15.