Variational Geometric Approach to Generalized Differential and Fenchel Conjugate Calculi in Convex Analysis

Abstract: This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in Banach space settings. Besides deriving in this way new results of convex calculus, we present an overview of some known achievements with their unified and simplified proofs based on the developed geometric variational schemes.