As more consumers adopt virtual try-on apps, shops can offer their goods at any time. Optimizing the online presence of e-tailers is based on technological advances, especially in mobile networks and augmented reality (AR) and virtual reality (VR) apps. This paper examines the factors influencing consumers’ experience and satisfaction using AR apps in makeup e-shopping. We employed constructs from models based on the stimulus–organism–response (SOR) paradigm as a starting point for our research. We added fit confidence, social value, and innovativeness, used in similar research on AR apps, to the continued usage intention, perceived utilitarian value, immersion, and perceived hedonistic value. Our research used the Partial Least Squares Structural Equation Modeling (PLS-SEM) approach from SmartPLS 4 for an online questionnaire. We obtained that all parameters impact consumers’ intention to utilize AR applications. Considering the total effect (direct and indirect), the order of influence is as follows: fit confidence, innovativeness, immersion, social value, perceived hedonistic value, and perceived utilitarian value. This paper’s key findings demonstrate that social value, fit assurance, perceived utilitarian value, and immersion are the most significant direct influences on customer behavior using AR apps in makeup e-shopping.

The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution operator to be uniform h- stable. As particular cases of this notion, we obtain four characterizations for uniform exponential stability and two characterizations for uniform polynomial stability.

This paper examines students’ perceptions of factors influencing normative support for the integration of AI Chatbots in universities, providing an empirical basis for developing institutional policies and implementation strategies in higher education. Framed within the sustainability perspective, the study examines how ethical, cognitive, and perceptual factors shape the long-term adoption of AI technologies in academic environments. Our study employs a structural model comprising 10 constructs, 46 items, and 9 hypotheses, tested on a sample of 408 economics students from Timisoara. The research identifies AI literacy as the most influential factor in the formal integration of these technologies in universities. The following factors have a direct impact: teacher perception, student perception, and cognitive risks (reliance on AI Chatbots and avoidance of intellectual effort). Use for personalized learning is a factor with a significant direct effect on positive perceptions and intentions to use AI Chatbots among students. Academic integrity risks, as well as limitations on accuracy and reliability, have no significant impact. AI Chatbots represent an essential opportunity to transform higher education. However, their positive impact is realized only through responsible formal integration, grounded in ethical policies, adequate digital education, and the adaptation of pedagogical practices. Universities must regard AI as a strategic ally for teachers and students, while keeping human interaction, critical thinking, and academic integrity at the centre of the educational process. The study argues that students’ perceptions are that universities must approach AI Integration as a strategic component of sustainable educational ecosystems, aligning innovation with long-term academic integrity and the objectives of sustainable development, particularly Sustainable Development Goal 4 (Quality Education).