An Alternative Regularization Method for Equilibrium Problems and Fixed Point of Nonexpansive Mappings

Shuo Sun

Journal of Applied Mathematics, 2012, vol. 2012, 1-16

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:202860

DOI: 10.1155/2012/202860

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