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Abstract We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of the square root, spiral generalized gamma equations) in random normed spaces. As direct and natural consequences of our results, we obtain general stability properties for the corresponding functional equations in (deterministic) metric and normed spaces.

Abstract We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed point method. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator.

The purpose of this paper is to observe the use of the Easy-to-Read term in the international scientific literature. Therefore, a bibliometric analysis was carried out using the Web of Science database, focusing on the period between 1978 and 2021. From this, 1065 records that met the search criteria were further identified. After applying the PRISMA model, the final analysis was performed on a corpus of 102 documents, comprising an analysis of the keywords and expressions where the term was found, an authorship analysis, a citation analysis, as well as a co-occurrence analysis. The publications were grouped based on the research area, with the field of Computer Science standing out with most of the occurrences (25), followed by Education & Educational Research (14 occurrences) and Linguistics (9 occurrences). The results suggest that interest in this field of research is limited, as the maximum number of publications related to this topic was 16 in 2020 and 14 in 2021. The study is important as it sheds light on the current state of the topic and seeks to identify future trends in this field.