Studies in generalized convexity and generalized monotonicity have
significantly increased during the last two decades. Researchers with
very diverse backgrounds such as mathematical programming, optimization
theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear
algebra, probability theory, variational inequalities, game theory,
economic theory, engineering, management science, equilibrium analysis,
for example are attracted to this fast growing field of study. Such
enormous research activity is partially due to the discovery of a rich,
elegant and deep theory which provides a basis for interesting existing
and potential applications in different disciplines. The handbook offers
an advanced and broad overview of the current state of the field. It
contains fourteen chapters written by the leading experts on the
respective subject; eight on generalized convexity and the remaining six
on generalized monotonicity.