5 citations · 6 across the 8 of their papers we have counts for
10 papers · 1 filter
Parabolic Regularity of Spectral Functions
Ashkan Mohammadi, Ebrahim Sarabi
This paper is devoted to the study of the second-order variational analysis of spectral functions. It is well-known that spectral functions can be expressed as a composite function…
Penalty methods to compute stationary solutions in constrained optimization problems
Ashkan Mohammadi
This paper is devoted to studying the stationary solutions of a general constrained optimization problem through its associated unconstrained penalized problems. We aim to answer t…
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…
Variational Analysis of Composite Models with Applications to Continuous Optimization
Ashkan Mohammadi, Boris S. Mordukhovich, M. Ebrahim Sarabi
The paper is devoted to a comprehensive study of composite models in variational analysis and optimization the importance of which for numerous theoretical, algorithmic, and applie…
Reconstruction of the core convex topology and its applications in vector optimization and convex analysis
Ashkan Mohammadi, Majid Soleimani-damaneh
In this paper, the core convex topology on a real vector space , which is constructed just by operators, is investigated. This topology, denoted by , is the strongest t…