<abstract xmlns="http://www.w3.org/1999/xhtml">

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, <italic>M</italic>) be a fixed point structure on (𝒰, <italic>M</italic>). We suppose that (𝒰, <italic>M</italic>) is with cartesian product. In which conditions, we have that:
<italic>X</italic>,<italic>Y</italic>∈𝒮⇒<italic>X</italic>×<italic>Y</italic>∈𝒮?
Some results in terms of exponential with fixed point property are also given. The basic results are illustrated by examples.
</abstract>

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.

Fixed point structures on a set-mapping pair and cartesian product

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Fixed point structures on a set-mapping pair and cartesian product"}

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...

Fixed point structures on a set-mapping pair and cartesian product

Published Online: Dec 24, 2022

Page range: 3 - 11

DOI: https://doi.org/10.2478/awutm-2022-0012

© 2022 Ioan A. Rus et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.