We aim to develop a transport network model that maximizes societal benefits and minimizes environmental effects in terms of energy use and GHG emissions. The model pertains to the use of different modes of transport, like automated vehicles, electric vehicles. Based on different modes of travel, a multi-criteria transport model will be formulated. The proposed approach will be to derive the optimality and the equilibrium conditions, which will satisfy a variational inequality. The equilibrium will be characterized by analyzing the continuity and strict monotonicity of the underlying operator.
joint work with Tanmoy Som Tanmoy
In this talk, we consider the problem to find the common zero of a non-negative lower semicontinuous function and a maximal monotone operator in a real Hilbert space. Algorithms permit us to solve the problem when the operators are not the projection operator, or the projection is not easy to compute. As an application, the result presented is used to study the strong convergence theorem for split equality variational problem. Some numerical examples are included to demonstrate the efficiency and applicability of the method.
We use asymptotic analysis for studying noncoercive pseudomonotone equilibrium problems and noncoercive mixed variational inequalities, both in the nonconvex case. We provide general necessary and sufficient optimality conditions for the set of solutions to be nonempty and compact for both problems. As a consequence, a characterization of the nonemptiness and compactness of the solution sets is given. Finally, a comparison between our results with previous ones presented in the literature is given. This talk is based on two papers in collaboration with Alfredo Iusem from IMPA, Brazil.