V. Colao, Laurentiu Leustean, G. López, Victoria Martín-Márquez
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Alternative iterative methods for nonexpansive mappings, rates of convergence and applications
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.
期刊介绍：
The concern of this international mathematical journal is to disseminate theoretical
knowledge in the field of Convex Analysis and, at the same time, cultivate and
extend its applications. In this sense it publishes research articles touching the areas
of Calculus of Variations, Control Theory, Measure Theory, Functional Analysis,
Differential Equations, Integral Equations, Optimization and Mathematical Programming,
and Mathematical Economics. Of particular interest are topics related to nonsmooth analysis,
generalized differentiability, and set-valued functions.
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