Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Mohammadi, Ashkan"'
Autor:
Mohammadi, Ashkan, Sarabi, Ebrahim
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 of symmetric functions and eigenvalue functions. We establish several
Externí odkaz:
http://arxiv.org/abs/2301.04240
Autor:
Mohammadi, Ashkan
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 the question, "what do the stationary solutions of a penalized unconstr
Externí odkaz:
http://arxiv.org/abs/2206.04020
Autor:
Mohammadi, Ashkan
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 goal, we entirely rely on two concepts of directional derivatives known a
Externí odkaz:
http://arxiv.org/abs/2204.01191
Autor:
Mohammadi, Ashkan, Mordukhovich, Boris
This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous functions. Our approach involves reducing a variational problem to a (nond
Externí odkaz:
http://arxiv.org/abs/2104.14727
Autor:
Mohammadi, Ashkan, Mordukhovich, Boris
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 employing conventional variational techniques based on completeness and limi
Externí odkaz:
http://arxiv.org/abs/2006.00462
Autor:
Mohammadi, Ashkan, Sarabi, M. Ebrahim
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. This will be conducted under the parabolic regularity, a second-order
Externí odkaz:
http://arxiv.org/abs/1911.05236
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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 for a broadclass of constrained optimization problems generated by par
Externí odkaz:
http://arxiv.org/abs/1910.06894
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 regularity of sets. This concept has been known in variational analysi
Externí odkaz:
http://arxiv.org/abs/1909.00241
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 applied issues of operations research is difficult to overstate. The underly
Externí odkaz:
http://arxiv.org/abs/1905.08837