The overall aim of this project is to develop a joint training and cutting-edge research program based on state-of-the-art technologies that will strengthen the research partnership between Jagiellonian University in Krakow, Poland, University of Perpignan, France, Guangxi University of Nationalities in Nanning, P.R. China, Zhejiang University in Hangzhou, P.R. China, University of Iowa, USA and Oakland University in Rochester, USA in the area of common research interest, nonlinear inclusions, hemivariational inequalities and modelling of contact mechanics. The estimated duration of the project is 48 months. This aim will be achieved through short and longer-term periods of staff exchange between partners in Europe, United States and China, and networking activities between the six institutions. The ultimate goal of this project is to achieve more rapid progress in advancing current knowledge and concepts through combined endeavour leading to a book monograph and joint-author high citation index publications. In this way, we will establish a long-term research cooperation between six institutions based on active technology and scientific knowledge application and transfer. The scientific aim of the research exchange is to develop new and non-standard mathematical and numerical tools directly motivated by the needs of the analysis of various classes of contact problems which are of fundamental importance in technology, industry and real engineering applications. A throughout research of contact processes will not only allow to gain an improved fundamental understanding of contact mechanics but also advance current knowledge that can ultimately be used for the improvement of industrial applications of economic benefits. Trainings, meeting, seminars and two workshops are being planned for this research project in order to share all the knowledge and information gained throughout the work and to form the basis of long lasting collaborations.