Viscosity coderivatives and their limiting behavior in smooth spaces
B. S. Mordukhovich, Y. Shao and Q. J. Zhu
This paper concerns with generalized differentiation of
set-valued and nonsmooth mappings between bornological Banach spaces.
We study the so-called viscosity coderivatives of multifunctions and
their limiting behavior under certain geometric assumptions on spaces in
question related to the existence of smooth bump functions of any kind.
The main results include various calculus rules for viscosity
coderivatives and their topological limits. They are important in
applications to variational analysis and optimization.
Download postscript file