On the existence and convergence of approximate solutions for mixed variational-like inequalities
Siegfried Schaible, Jen‐Chih Yao, L. C. Zeng · Optimization · 2006
The auxiliary principle technique is extended to develop an iterative algorithm for finding approximate solutions of a mixed variational-like inequality in a real Hilbert space. Not only the existence of approximate solutions of a mixed variational-like inequality is proven, but also the strong convergence of approximate solutions to an exact solution of a mixed variational-like inequality is shown. The convergence criteria presented in this article are new.