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arXiv · 1711.06924

A product topology convergence scheme for finding a function that it's values are common fixed points of a family of representations

Ebrahim Soori
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Abstract

In this paper, using a family of representations of nonexpansive mappings, we introduce an algorithm in a product space $E^{I}$ consisting of all functions from a nonempty set $I$ to a Banach space $E$. Then we prove the product topology convergence of the proposed algorithm to an element of $E^{I}$ such that it's values are the common fixed points of the representations of the family.

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Ebrahim Soori. 2017-11-18. A product topology convergence scheme for finding a function that it's values are common fixed points of a family of representations. https://arxiv.org/abs/1711.06924

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