On certain new notion of order Cauchy sequences, continuity in (l)-group
[EN] In this paper, we introduce the notions of order quasi-Cauchy sequences, downward and upward order quasi-Cauchy sequences, order half Cauchy sequences. Next we consider an associated idea of continuity namely, ward order continuous functions [2] and investigate certain interesting results. The...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/182882 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/182882 |
| Access Level: | acceso abierto |
| Palabra clave: | (l)-group Order quasi-Cauchy sequences Statistical ward continuity Uniform order continuity Statistical ward compact set Downward order continuity Upward order continuity |
| Sumario: | [EN] In this paper, we introduce the notions of order quasi-Cauchy sequences, downward and upward order quasi-Cauchy sequences, order half Cauchy sequences. Next we consider an associated idea of continuity namely, ward order continuous functions [2] and investigate certain interesting results. The entire investigation is performed in (l)-group setting to extend the recent results in [5, 6]. |
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