An implicit algorithm for finding a fixed point of a $Q$-nonexpansive mapping in locally convex spaces
| Autor: | Soori, Ebrahim, Omidi, M. R., Farajzadeh, A. P., Wang, Yuanheng |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $\tau_{Q}$. Comment: 21 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|