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Start Over Author "Wong, Ngai-Ching" Topic 47h10 Topic banach spaces
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1. Nonlinear Ergodic Theorem for Positively Homogeneous Nonexpansive Mappings in Banach Spaces.

Author

Takahashi, Wataru, Wong, Ngai-Ching, and Yao, Jen-Chih

Subjects
*NONLINEAR systems, *ERGODIC theory, *MATHEMATICS theorems, *MATHEMATICAL mappings, *BANACH spaces, *FIXED point theory
Abstract

Recently, two retractions (projections), which are different from the metric projection and the sunny nonexpansive retraction in a Banach space, were found. In this article, using nonlinear analytic methods and new retractions, we prove a nonlinear ergodic theorem for positively homogeneous and nonexpansive mappings in a uniformly convex Banach space. The limit points are characterized by using new retractions. [ABSTRACT FROM PUBLISHER]

Published
2014
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