Iterated nonexpansive mappings
| Autor: | Tomás Domínguez Benavides, Enrique Llorens-Fuster |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Class (set theory) Applied Mathematics 010102 general mathematics Mathematics::Optimization and Control Banach space Structure (category theory) Fixed point 01 natural sciences 010101 applied mathematics Mathematics::Logic Iterated function Modeling and Simulation Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Journal of Fixed Point Theory and Applications. 20 |
| ISSN: | 1661-7746 1661-7738 |
| DOI: | 10.1007/s11784-018-0579-5 |
| Popis: | In this paper, we present a further study of iterated nonexpansive mappings, that is, mappings which are nonexpansive along the orbits. This is a wide class of nonlinear mappings including many generalized nonexpansive mappings, such as Suzuki (C)-type generalized nonexpansive mappings and, among others, mappings satisfying the so-called condition (B). In some cases, as for Suzuki (C)-type generalized nonexpansive mappings, the existence of a fixed point is known in the setting of Banach spaces with normal structure. We prove that the same is true for many other classes of iterated nonexpansive mappings. |
| Databáze: | OpenAIRE |
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