A supply chain network equilibrium problem was recently formulated using the variational inequality approach and solved with the modified projection method. Assuming the vector function F that enters the variational inequality is strictly monotone and Lipschitz continuous (and that a solution exists). The realization of the modified projection algorithm for the supply chain network equilibrium ...

What is the relation between notion of Nash equilibria and Pareto-optimal points? It well known that do not need to be Pareto optimal, points equilibria. However, paper “Characterizing Computing Set Equilibria via Vector Optimization” by Feinstein Rudloff takes a deeper look at relation. shown it possible characterize set all as solutions certain vector optimization problem. This accomplished c...

We establish a discrete multivariate mean value theorem for the class of positive maximum component sign preserving functions. A constructive and combinatorial proof is given based upon a simplicial algorithm and vector labeling. Moreover, we apply this theorem to a discrete nonlinear complementarity problem and an economic equilibrium problem with indivisibilities and show the existence of sol...

In this paper, the lower semicontinuity and continuity of the solution mapping to a parametric generalized vector equilibrium problem involving set-valued mappings are established by using a new proof method which is different from the ones used in the literature.

After introducing the concept of functional dissipativity Dirichlet problem in a domain ??RN for systems partial differential operators form ?h(Ahk(x)?k) (Ahk(x) being m×m matrices with complex valued L? entries), we find necessary and sufficient conditions two-dimensional Lamé system. As an application our theory provide two regularity results displacement vector N-dimensional equilibrium prob...