From its origins in the minimization of integral functionals, the notion of'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It …
In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more …
Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of …
The goal of this book is to prepare readers to apply the optimal control theory to nonlinear processes beyond the standard applications. The examples investigated in depth are drawn …
This monograph covers one of the divisions of mathematical theory of control which examines moving objects functionating under conflict and uncertainty conditions. To identify …
A subset X of a real Hilbert space H is said to be proximally smooth provided that the function dX: H→ R (the distance to X) is continuously differentiable on an open tube U …
This book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts and their application to optimization problems. It starts …
Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of …
B Mordukhovich, Y Shao - Transactions of the American Mathematical …, 1996 - ams.org
We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces …