Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms
Jing Zhao, Haili Zong, Guangxuan Liu, Hang Zhang · The Journal of Nonlinear Sciences and Applications · 2016
In this paper, we introduce a viscosity iterative algorithm for finding common solution of variational inequality for Lipschitzian and strongly monotone operators and the split equality common fixed-point problem for firmly quasi-nonexpansive operators. We prove the strong convergence of the proposed algorithm which does not need any prior information about the bounded linear operator norms.