Wenling Li, Shengju Yang, MK viscosity approximation for fixed points and equilibrium problems in Hilbert spaces, Vol. 2022 (2022), Article ID 32, pp. 1-10

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DOI: 10.23952/jnfa.2022.32

Received May 11, 2022; Accepted July 22, 2022; Published August 9, 2022

 

Abstract In this paper, an MK viscosity iteration is introduced and investigated for solving an equilibrium problem and a fixed point problem with a nonexpansive operator. A theorem of strong convergence is established in the setting of Hilbert spaces. There is no any compact restriction imposed on the operator and the subset involved.

 

How to Cite this Article:
W. Li, S. Yang, MK viscosity approximation for fixed points and equilibrium problems in Hilbert spaces, J. Nonlinear Funct. Anal. 2022 (2022) 32.