Fixed point structures on a set-mapping pair and cartesian product
| Autor: | Ioan A. Rus, Marcel-Adrian Şerban |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Annals of West University of Timisoara - Mathematics and Computer Science. 58:3-11 |
| ISSN: | 1841-3307 |
| DOI: | 10.2478/awutm-2022-0012 |
| Popis: | In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706): Let (𝒰, 𝒮, M) be a fixed point structure on (𝒰, M). We suppose that (𝒰, M) is with cartesian product. In which conditions, we have that: X,Y∈𝒮⇒X×Y∈𝒮? Some results in terms of exponential with fixed point property are also given. The basic results are illustrated by examples. |
| Databáze: | OpenAIRE |
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