Alternative iterative methods for nonexpansive mappings, rates of convergence and application

Details Alternative iterative methods for nonexpansive mappings, rates of convergence and application Alternative iterative methods for nonexpansive mappings, rates of convergence and application

2009-05-29

arxiv.org/abs/0905.4836v1

Mathematics

Functional Analysis

Scientific paper

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. We give rates of asymptotic regularity
for such iterations using proof-theoretic techniques. Some applications of the
convergence results are presented.

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