An Alternative Regularization Method forEquilibrium Problems and Fixed Point ofNonexpansive Mappings

الملخص EN

We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping.

Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the unique sunny nonexpansive retraction.

Our results extend beyond the results of S.

Takahashi and W.

Takahashi (2007), and many others.