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arXiv · 1710.00849

An implicit algorithm for finding a fixed point of a $Q$-nonexpansive mapping in locally convex spaces

Ebrahim Soori·M. R. Omidi·A. P. Farajzadeh·Yuanheng Wang
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Abstract

Suppose that $Q$ is a family of seminorms on a locally convex space $E$ which determines the topology of $E$. In this paper, first we define the notation of the $q$-duality mappings in locally convex spaces. Then we introduce an implicit method for finding an element of the set of fixed points of a $Q$-nonexpansive mapping. Then we prove the convergence of the proposed implicit scheme to a fixed point of the $Q$-nonexpansive mapping in $\tau_{Q}$.

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Ebrahim Soori, M. R. Omidi, A. P. Farajzadeh, Yuanheng Wang. 2017-10-02. An implicit algorithm for finding a fixed point of a $Q$-nonexpansive mapping in locally convex spaces. https://arxiv.org/abs/1710.00849

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