Well-posedness and Subdifferentials of Optimal Value and Infimal Convolution.

We show that well-posedness (namely approximative well-posedness) properties of optimization problems are very efficient tools in subdifferential calculus of optimal value (marginal) function and in particular of infimal convolution. Under well-posedness conditions we establish an inclusion for the Mordukhovich limiting subdifferential of the marginal function and obtain new properties and descriptions of the Fréchet, proximal and Mordukhovich limiting subdifferentials of the infimal convolution. We also formulate sufficient conditions for well-posedness properties under consideration. [ABSTRACT FROM AUTHOR]