The Generalized α-Nonexpansive Mappings and Related Convergence Theorems in Hyperbolic Spaces.
| Autor: | Cholatis Suanoom, Kittikorn Sriwichai, Chakkrid Klin-Eam, Wongvisarut Khuangsatung |
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| Zdroj: | Journal of Informatics & Mathematical Sciences; 2019, Vol. 11 Issue 1, p1-17, 17p |
| Abstrakt: | In this paper, we propose and analyze a generalized α-nonexpansive mappings on a nonempty subset of a hyperbolic space i.e., 1/2d(x,Tx) ≤ d(x, y) ⇒ d(Tx,Ty) ≤ αd(y,Tx) + αd(x,Ty) + (1-2α)d(x, y), and prove Δ-convergence theorems and convergence theorems for a generalized α-nonexpansive mappings in a hyperbolic space. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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