3 citations · 4 across the 8 of their papers we have counts for
11 papers
A Chain Rule for Strict Twice Epi-Differentiability and its Applications
N. T. V. Hang, M. E. Sarabi
The presence of second-order smoothness for objective functions of optimization problems can provide valuable information about their stability properties and help us design effici…
Local Convergence Analysis of Augmented Lagrangian Methods for Piecewise Linear-Quadratic Composite Optimization Problems
Nguyen T. V. Hang, M. Ebrahim Sarabi
Second-order sufficient conditions for local optimality have been playing an important role in local convergence analysis of optimization algorithms. In this paper, we demonstrate…
Augmented Lagrangian Method for Second-Order Cone Programs under Second-Order Sufficiency
Nguyen T. V. Hang, Boris S. Mordukhovich, M. Ebrahim Sarabi
This paper addresses problems of second-order cone programming important in optimization theory and applications. The main attention is paid to the augmented Lagrangian method (ALM…
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.…
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…