Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. Rates of asymptotic regularity for such iterations are given using proof-theoretic techniques. Some applications of the convergence results are presented.
Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications
COLAO, Vittorio;
2011-01-01
Abstract
Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. Rates of asymptotic regularity for such iterations are given using proof-theoretic techniques. Some applications of the convergence results are presented.File in questo prodotto:
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