The recession cone and recession function are very important research objects in Convex Analysis. They have extensive applications in the optimization theory. Firstly, we study the properties of the recession cone and recession function. The positive homogeneity and subadditivity of recession function are mainly discussed. And the different methods are considered to prove these properties. Secondly, we discuss the unboundedness of the convex sets and convex functions by using recession cone and recession function.

The study is focusing on cyberspace—a new type of space mastered by humans with the help of digital technologies. This systematic review uses SPAR-4-SLR protocol to analyze over 30 years of scholarly research indexed in Scopus database, highlighting five time periods: before 1995, 1996–2008, 2009–2012, 2013–2019, and after 2020. A final sample of 6645 publications in social sciences, Business, management and accounting (BMA), and Economics, econometrics and finance (EEF) was analyzed across multiple parameters, including: chronology, types of documents, sources, countries, institutions, authors, topics, and most cited publications. The review has systematized information about the most influential organizations and individuals involved in cyberspace research. First of all, these are researchers from the United States, the United Kingdom, and China. Key journals that publish research on the topic have been identified, and a ranked list of funding organizations supporting research on the social and economic aspects of cyberspace are identified. The study provides insights into the achievements of the social and economic sciences in cyberspace over the past 30 years. The results will be useful to scholars who seek for a general overview on the topic of cyberspace, as well as experts and policymakers developing mechanisms and tools for regulating cyberspace as a mixture of the virtual and real worlds.

This article analyses the case of Dubai’s smart city from a public policy perspective and demonstrates how critical it is to rely on the use of the public-private partnership (PPP) model. Effective use of this model can guarantee the building of a smart city that could potentially fulfill the vision of the political leadership in Dubai and serve as a catalyst and blueprint for other Gulf states that wish to follow Dubai’s example. This article argues that Dubai’s smart city project enjoys significant political support and has ambitious plans for sustainable growth, and that the government has invested heavily in developing the necessary institutional, legal/regulatory, and supervisory frameworks that are essential foundations for the success of any PPP project. The article also points to some important insights that the Dubai government can learn from the international experience with the delivery of smart cities through PPPs.

Sport has become a fundamental socio-economic area. Currently, technological progress plays one of the most important roles in the development of sport. In the twenty-first century, innovation, and technology are significantly shaping the world of law enforcement and sports policing, and huge changes are taking place that need to be responded to. The development, spread and completion of info communication, information technology, digital technologies, and digitalization itself at an ever-faster pace than ever before are fundamentally changing all areas of the economy and society. Today there is no question that digitalization is the engine of the economy, which has an impact in all sectors, including sports and law enforcement. In the study, the authors examine the possibility of technical development in the field of sports safety. Among other things, drones, facial recognition systems and predictive analytics will be examined. The methodology used is mainly based on the analysis and examination of previous methods. The authors propose to adapt the innovative tools used at previous sports and mass events in the field of sports safety.

Entrepreneurship education plays a crucial role in improving college students' entrepreneurial skills. With the significant momentum gained by digital entrepreneurship, there is an urgent need for digital transformation in entrepreneurship education. However, entrepreneurship education digital transformation (EEDT) is developing in a rapid but fragmented manner, which requires more systematic guidance. This study aims to assess the current research themes and formulate a framework for entrepreneurship education digital transformation. The research employs a systematic literature review and a theory triangulation method. According to the review’s outcome, which focused on 56 articles published between 2018 and 2023, the researcher constructed a conceptual framework for entrepreneurship education digital transformation. To test the construct validity of the framework, the researcher modified it twice through theory triangulation, following the guidelines of the entrepreneurship education ecosystem theory and the education digital transformation framework. This study offers recommendations for research and practice in digital transformation of entrepreneurship education, encompassing a holistic strategy, new educational approaches, novel curriculum designs, and the enhancement of digital literacy among entrepreneurship teachers.

This study explored the relationships between green market orientation and competitive advantage, with a particular focus on the mediating role of green sustainable innovation. The research utilized a structured questionnaire to gather data from managers involved in environmental protection and professionals working in the manufacturing sectors of computers, electronics, optical products, and electrical equipment. The survey targeted respondents from key regions in Saudi Arabia, including Riyadh, Qassim, and the Eastern Province, resulting in a total of 273 responses. The collected data were analyzed using structural equation modeling (SEM), a robust statistical technique that allows for the examination of complex relationships between variables. The findings confirmed a mediational model where green sustainable innovation—comprising both green product and green process innovation—served as a critical intermediary linking green market orientation to competitive advantage. Furthermore, the study validated direct effects of green market orientation on both green sustainable innovation and competitive advantage. These results emphasize the dual pathways through which green market orientation influences business performance. The research concludes by offering actionable insights for Saudi managers, highlighting strategies to maximize profitability and competitiveness through the adoption and implementation of green sustainable innovation practices.