Results 91 to 100 of about 216 (132)

A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics

Journal of Optimization Theory and Applications, 2018
International audienceThe main concern of this paper is to investigate the Lipschitzian-like stability property (namely Aubin property) of the solution map of possibly nonmonotone variational systems with composite superpotentials.
Samir Adly, Adly Samir
exaly   +2 more sources

Coderivations and ∗-Coderivations on Matrix Coalgebra

International Journal of Open Problems in Computer Science and Mathematics, 2012
In this paper we study coderivations on M c n(R), the coalgebra of n × n matrices over R. Proving M c n(R) is a coseparable coalgebra, we show that every coderivation on M c n(R) is inner. Using this, we demonstrate that if f is a coderivation on M c n(R) and {eij}1≤i,j≤n is the canonical R-basis of Mn(R) then f(eij ) = ∑n k=1 ( c ij ik e ik + c ij kj ...
Madjid Mirzavaziri, Elham Tafazoli
openaire   +1 more source

Coderivative Conditions for Error Bounds of γ-paraconvex Multifunctions

Set-Valued and Variational Analysis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Huang
exaly   +3 more sources

On the Coderivative of the Projection Operator onto the Second-order Cone [PDF]

Set-Valued and Variational Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiří V Outrata, Defeng Sun, Sun Defeng   +2 more
exaly   +3 more sources

Coderivatives in parametric optimization

Mathematical Programming, 2004
The paper is devoted to sensitivity analysis of constrained optimization problems and the main attention is paid to the study of Lipschitzian stability of solution maps in optimization problems (particularly stationary point multifunctions and stationary point-multiplier multifunctions in parametric mathematical programming).
Adam B. Levy, Boris S. Mordukhovich
openaire   +2 more sources

On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings

Set-Valued and Variational Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T T A Nghia
exaly   +2 more sources

On the coderivative of the projection operator onto the positive cone in Hilbert spaces

Optimization
In this paper, we study the generalized differentiability of the metric projection operator onto the positive cone in Hilbert spaces. We first establish the formula for exactly computing the regular coderivative and the Mordukhovich coderivative of the ...
Van Hien, Le, Quan, Nguyen Viet
exaly   +2 more sources

Coderivatives of the generalized perturbation maps

Positivity, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue, X. W., Li, S. J.
openaire   +2 more sources

Approximate subgradients and coderivatives in R n

Set-Valued Analysis, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borwein, D., Borwein, J. M., Wang, Xianfu   +2 more
openaire   +2 more sources

Fuzzy calculus for coderivatives of multifunctions

Nonlinear Analysis: Theory, Methods & Applications, 1997
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Mordukhovich, B.S., Shao, Y.
openaire   +2 more sources