ABSTRACT
During the last few decades, optimization theory has been evolving in all possible directions at an astonishing rate. New algorithmic and theoretical techniques have been developed, diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. Due to the recent developments, the theory of optimization is becoming increasingly pivotal in mathematics as well as interdisciplinary areas, especially in the interplay between mathematics and many other sciences like computer science, physics, engineering, and operations research. The study of variational inequalities is also a part of this development because solutions of optimization problems can often be related to the solutions of variational inequalities.
