I have been invited to dalivered a talk at The Tenth International Conference on Engineering Computational Technology held in Sitges. In this conference I present some results on algorithmic solutions for managing car-sharing and car-rental companies in order that there was a participatory management with the users. The title of the talk was Iterative algorithms for car rental and car sharing transport management and it was shown within the Special Session Iterative schemes for analyzing nonlinear problems: Numerical and dynamic. The results are part of a joint work with Cristina Jordán and Esther Sanabria-Codesal from Universitat Politècnica de València, too.