Equilibrium Problems and Variational Models Nonconvex Optimization and Its Applications

This volume, devoted to variational analysis and its applications, is made up of refereed contributions, which provide an outline of the field. New results, which enlarge the field of applications in variational analysis, are presented; they deal with vectorial analysis, time dependent variational analysis, exact penalization, high order derivatives, geometric aspects, distance functions and logquadratic proximal methodology.

The new theoretical results make it possible to improve, in a remarkable way, the study of significant problems arising from the applied sciences, such as the continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. Moreover, the progress made in the field also makes it possible to handle problems whose equilibrium conditions are not obtained by the minimization of a functional.

These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) condition, which enriches our knowledge of the equilibrium behavior.