7 papers
First-order variational analysis of non-amenable composite functions
Ashkan Mohammadi
This paper is devoted to studying the first-order variational analysis of non-convex and non-differentiable functions that may not be subdifferentially regular. To achieve this goa…
Optimality Conditions for Variational Problems in Incomplete Functional Spaces
Ashkan Mohammadi, Boris Mordukhovich
This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous func…
Variational analysis in normed Spaces with applications to constrained optimization
Ashkan Mohammadi, Boris Mordukhovich
This paper is devoted to developing and applications of a generalized differential theory of variational analysis that allows us to work in incomplete normed spaces, without employ…
Twice epi-differentiability of extended-real-valued functions with applications in composite optimization
Ashkan Mohammadi, M. Ebrahim Sarabi
The paper is devoted to the study of the twice epi-differentiablity of extended-real-valued functions, with an emphasis on functions satisfying a certain composite representation.…
Stability of KKT systems and superlinear convergence of the SQP method under parabolic regularity
Ashkan Mohammadi, Boris Mordukhovich, Ebrahim Sarabi
This paper pursues a two-fold goal. Firstly, we aim to derive novel second-order characterizations of important robust stability properties of perturbed Karush-Kuhn-Tucker systems…
Parabolic Regularity in Geometric Variational Analysis
Ashkan Mohammadi, Boris S. Mordukhovich, M. Ebrahim Sarabi
The paper is mainly devoted to systematic developments and applications of geometric aspects of second-order variational analysis that are revolved around the concept of parabolic…