Regularization methods for the solution of nonlinear complementarity problems are standard methods for the solution of monotone complementarity problems and possess strong convergence properties. In this paper, we replace the monotonicity assumption by a P0-function condition. We show that many properties of regularization methods still hold for this larger class of problems. However, we also p...

Modern IT systems collect detailed data on each activity, transaction, forum entry, conversation and many other areas. The availability of large volumes in the business, industry research fields opens up new opportunities for empirical verification various economic theories laws. analysis big datasets turn allows us to look at issues from a point view see dependencies that are otherwise difficu...

In this paper we study the complementarity spectrum of digraphs, with special attention to problem digraph characterization through spectrum. That is, whether two non-isomorphic digraphs same number vertices can have eigenvalues. The eigenvalues matrices, also called Pareto eigenvalues, has led (undirected) graphs and, in particular, undirected these is an open problem. We characterize one and ...

A unified formulation as well as numerical approach is presented both for the twoand three-dimensional incremental quasi-static problems with unilateral frictional contact. Under the assumptions of small rotations and small strains, a Second-Order Cone Linear Complementarity Problem (SOCLCP) is formulated, which consists of complementarity conditions defined by the bilinear functions and the se...

In this paper, we consider the mathematical program with symmetric cone complementarity constraints (MPSCCC) in a general form. It includes the mathematical program with second-order-cone complementarity constraints (MPSOCCC) and the mathematical program with complementarity constraints (MPCC). We present a smoothing method which approximates the primal MPSCCC by means of the ChenMangasarian cl...

In the context of mixed complementarity problems, various concepts of solution regularity are known, each of them playing a certain role in related theoretical and algorithmic developments. In this note, we provide the complete picture of relations between the most important regularity conditions for mixed complementarity problems. A special attention is paid to the particular cases of a nonlin...