Ali Ali Malakouti

This manuscript investigates fixed point of single-valued Hardy-Roger’s type F -contraction globally as well as locally in a convex b -metric space. The paper, using generalized Mann’s iteration, iterates fixed point of the abovementioned contraction; however, the third axiom of the F -contraction is removed, and thus the mapping F is relaxed. An important approach used in the article is, though a subset closed ball of a complete convex b -metric space is not necessarily complete, the convergence of the Cauchy sequence is confirmed in the subset closed ball. The results further lead us to some important corollaries, and examples are produced in support of our main theorems. The paper most importantly presents application of our results in finding solution to the integral equations.

Rapid advancements in information technology have significantly changed in various aspects of life, including in the fields of economics and investment. Metaverse, a concept of a virtual world that allows for social, economic, and cultural interactions in a digital environment, has emerged as one of the most prominent innovations in recent years. The millennial generation, often referred to as digital natives, has shown a strong interest in adopting this new technology. However, many millennials still do not know how to invest through technological advancements in the metaverse. The purpose of this study is to analyze the variables that influence the interest of the millennial generation in metaverse investment. This study uses a quantitative method with respondents who are millennials in Jepara Regency aged 19–21 years. The sampling technique uses purposive sampling. Data were collected through a questionnaire with a google form distributed to 92 millennial respondents spread across Jepara Regency. Respondent data were analyzed with the help of analysis software. The results showed that 72% of the millennial generation in Jepara Regency were interested in utilizing technological advances properly, one of which is by investing through the metaverse. The findings indicate a clear interest and effort among millennials in Jepara Regency to invest in the metaverse. This study may contribute to strategies aimed at increasing millennial participation in metaverse-based investment in the region.