[PDF] Top 20 On the Well Posedness for Optimization Problems: A Theoretical Investigation
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On the Well Posedness for Optimization Problems: A Theoretical Investigation
... of well-posedness is significant for several mathematical prob- lems and it is closely related to the stability of an optimization problem: it plays, in fact, a crucial role in the theoretical ... See full document
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Well posedness for generalized \((\eta ,g,\varphi )\) mixed vector variational type inequality and optimization problems
... parametric well-posedness for opti- mization problems with variational inequality constraints by using the approximating se- ...the well-posedness, L-well-posedness and ... See full document
16
Several types of well-posedness for generalized vector quasi-equilibrium problems with their relations
... many problems as special cases, for example, optimization problems, fixed-point problems, variational inequality problems, complementary problems and Nash ...these problems ... See full document
22
Well-posedness for parametric strong vector quasi-equilibrium problems with applications
... is well known that well-posedness is very important for both optimization theory and numerical methods of optimization problems, which guarantees that, for every approximating ... See full document
14
Well posed generalized vector equilibrium problems
... of problems, for example, the vector optimization problem, the vector vari- ational inequality problem, the vector complementarity problem and the vector saddle point ...equilibrium problems have ... See full document
12
Well posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
... Equilibrium problems first considered by Blum and Oettli [] have been playing an important role in optimization theory with many striking applications, particularly in transportation, mechanics, economics, ... See full document
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Levitin Polyak well posedness for generalized semi infinite multiobjective programming problems
... is well known that the well-posedness is very important for both optimization theory and numerical methods of optimization problems, which guar- antees that, for approximating ... See full document
13
Well posedness for parametric generalized vector quasivariational inequality problems of the Minty type
... inequality problems have many important applications in vector optimization problems [–], vector equilibria problems [, ], and variational relation problems [, ... See full document
16
Well posed symmetric vector quasi equilibrium problems
... is well known, the notion of well-posedness can be divided into two different groups: Hadamard type and Tykhonov type [, ...type well- posedness is based on the continuous dependence of ... See full document
10
Levitin Polyak Well Posedness for Equilibrium Problems with Functional Constraints
... Levitin-Polyak well-posedness for convex scalar optimization problems with functional constraints started by Konsulova and Revalski ...vector optimization problems with both ... See full document
14
Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
... Well-posedness for unconstrained and constrained optimization problems was first studied by Tikhonov 10 and Levitin and Polyak 11. The issue being considered is that for each approximating ... See full document
16
Metric characterizations for well posedness of split hemivariational inequalities
... between optimization problems and variational inequal- ity problems, the concept of well-posedness for optimization problems is generalized to variational inequalities and ... See full document
17
The well posedness for a system of generalized quasi variational inclusion problems
... tion problems. In , Tykhonov [] first introduced the concept of well-posedness for a global minimizing problem, which has become known as Tykhonov ...Tykhonov well-posedness, ... See full document
15
Existence and Hadamard well posedness of a system of simultaneous generalized vector quasi equilibrium problems
... equilibrium problems as special ...Hadamard well-posedness requires not only the existence and uniqueness of the optimal solution but also the continuous dependence of the optimal so- lution on the ... See full document
10
Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
... is well known that the well-posedness is very important for both optimization theory and numerical methods of optimization problems, which guarantees that, for approximating ... See full document
14
Remark on the well-posedness of weakly dispersive equations
... When 0 < α < 1, it seems difficult to obtain the global well-posedness. It has been shown by Bona and Saut [3] that the linearization around 0 has blow-up solution and Klein, Saut numerically observe ... See full document
10
On a model for the Navier–Stokes equations using magnetization variables
... local well-posedness and global existence for small-data in certain critical spaces, as well as a number of important partial regularity ...global well-posedness for arbitrary initial ... See full document
15
Existence of Solutions to Path Dependent Kinetic Equations and Related Forward Backward Systems
... Equation (1.4) has many applications. Let us briefly explain the crucial role played by this equation in the mean field game (MFG) methodology, which is based on the analysis of coupled systems of forward-backward ... See full document
6
Well-posedness of fractional parabolic equations
... The well-posedness of problem () in spaces of smooth functions is established in Section ...of problems for mth order multidimensional fractional parabolic equa- tions and one-dimensional ... See full document
18
On well-posedness for some thermo-piezoelectric coupling models
... inverse problems associated with obtaining a set of optimal design parameters for a desired set of sensor operating ...the well-posedness of the quasi-electrostatic model of a piezoelectric material ... See full document
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