Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations
Yonghong Yao, Yeong‐Cheng Liou, Jen‐Chih Yao · The Journal of Nonlinear Sciences and Applications · 2017
In the present paper, we consider the split variational inequality and fixed point problem that requires to find a solution of a generalized variational inequality in a nonempty closed convex subset \(\mathcal{C}\) of a real Hilbert space \(\mathcal{H}\) whose image under a nonlinear transformation is a fixed point of a pseudocontractive operator. An iterative algorithm is introduced to solve this split problem and the strong convergence analysis is given.