Generalized systems for relaxed cocoercive variational inequalities and projection methods in Hilbert spaces
Yeol Je Cho, Xiaolong Qin · Mathematical Inequalities & Applications · 2009
In this paper, we introduce a new algorithm for a generalized system for a relaxed cocoercive nonlinear inequality and an asymptotically nonexpansive mapping in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results of [R.U. Verma, General convergence analysis for two-step projection methods and application to variational problems.