Set-Valued and Variational Analysis, ISSN 1877-0533, 12/2018, Volume 26, Issue 4, pp. 911 - 946

The paper introduces and studies the notions of Lipschitzian and Hölderian full stability of solutions to three-parametric variational systems described in the...

Legendre forms | Variational analysis | Polyhedricity | Subgradients | Variational inequalities and variational conditions | Mathematics | Secondary 49J52, 90C31 | Optimization | Prox-regularity | Coderivatives | Parametric variational systems | Analysis | Primary 49J53 | Lipschitzian and Hölderian full stability | Generalized differentiation | MATHEMATICS, APPLIED | INEQUALITIES | PROX-REGULAR FUNCTIONS | EQUATIONS | MONOTONICITY | Lipschitzian and Holderian full stability | TILT STABILITY | LIPSCHITZIAN | 90C31 | PROJECTION | Secondary 49J52 | CONTINUITY | SENSITIVITY-ANALYSIS | CONSTRAINTS

Legendre forms | Variational analysis | Polyhedricity | Subgradients | Variational inequalities and variational conditions | Mathematics | Secondary 49J52, 90C31 | Optimization | Prox-regularity | Coderivatives | Parametric variational systems | Analysis | Primary 49J53 | Lipschitzian and Hölderian full stability | Generalized differentiation | MATHEMATICS, APPLIED | INEQUALITIES | PROX-REGULAR FUNCTIONS | EQUATIONS | MONOTONICITY | Lipschitzian and Holderian full stability | TILT STABILITY | LIPSCHITZIAN | 90C31 | PROJECTION | Secondary 49J52 | CONTINUITY | SENSITIVITY-ANALYSIS | CONSTRAINTS

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2009, Volume 117, Issue 1, pp. 305 - 330

Our paper deals with the interrelation of optimization methods and Lipschitz stability of multifunctions in arbitrary Banach spaces. Roughly speaking, we show...

Penalization | Mathematical and Computational Physics | Newton’s method | Mathematics | 65Y20 | Perturbation | 90C31 | Mathematical Methods in Physics | Successive approximation | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Variational inequality | Stability criteria | Approximate projections | 49J52 | 49K40 | Numerical Analysis | Generalized equation | Metric regularity | Combinatorics | Calmness | Regularization | Newton's method | MATHEMATICS, APPLIED | INEQUALITIES | MINIMA | perturbation | regularization | generalized equation | stability criteria | variational inequality | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUATIONS | metric regularity | approximate projections | calmness | penalization | CONVERGENCE | MAPPINGS | successive approximation | PENALTIES | Algorithms | Management science | Resins, Fossil | Analysis | Methods | Studies | Banach spaces | Optimization | Mathematical programming

Penalization | Mathematical and Computational Physics | Newton’s method | Mathematics | 65Y20 | Perturbation | 90C31 | Mathematical Methods in Physics | Successive approximation | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Variational inequality | Stability criteria | Approximate projections | 49J52 | 49K40 | Numerical Analysis | Generalized equation | Metric regularity | Combinatorics | Calmness | Regularization | Newton's method | MATHEMATICS, APPLIED | INEQUALITIES | MINIMA | perturbation | regularization | generalized equation | stability criteria | variational inequality | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUATIONS | metric regularity | approximate projections | calmness | penalization | CONVERGENCE | MAPPINGS | successive approximation | PENALTIES | Algorithms | Management science | Resins, Fossil | Analysis | Methods | Studies | Banach spaces | Optimization | Mathematical programming

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 12/2015, Volume 23, Issue 4, pp. 687 - 704

The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic...

Variational analysis and optimization | Mathematics | Graphical derivatives | secondary 90C31 | Parameterized equilibria | Geometry | Solution maps | Normal and tangent cones | 49J52 | Analysis | Sensitivity and stability analysis | primary 49J53 | Conic constraints | MATHEMATICS, APPLIED | LOCALLY OPTIMAL-SOLUTIONS | GENERALIZED EQUATIONS | PROGRAMS | SENSITIVITY-ANALYSIS | OPTIMIZATION | FULL STABILITY

Variational analysis and optimization | Mathematics | Graphical derivatives | secondary 90C31 | Parameterized equilibria | Geometry | Solution maps | Normal and tangent cones | 49J52 | Analysis | Sensitivity and stability analysis | primary 49J53 | Conic constraints | MATHEMATICS, APPLIED | LOCALLY OPTIMAL-SOLUTIONS | GENERALIZED EQUATIONS | PROGRAMS | SENSITIVITY-ANALYSIS | OPTIMIZATION | FULL STABILITY

Journal Article

Mathematical Programming Computation, ISSN 1867-2949, 12/2012, Volume 4, Issue 4, pp. 307 - 331

We introduce a flexible, open source implementation that provides the optimal sensitivity of solutions of nonlinear programming (NLP) problems, and is adapted...

90C31 | Sensitivity | 90C51 | NLP | 90C30 | Mathematics of Computing | Operations Research/Decision Theory | 90-08 | Mathematics | Theory of Computation | Interior point | Optimization

90C31 | Sensitivity | 90C51 | NLP | 90C30 | Mathematics of Computing | Operations Research/Decision Theory | 90-08 | Mathematics | Theory of Computation | Interior point | Optimization

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 2019, Volume 181, Issue 3, pp. 787 - 816

Motivated by many applications (for instance, some production models in finance require infinity-dimensional commodity spaces, and the preference is defined in...

Nonconvex vector optimization | Proper efficiency | Quasi-relative interior | Saddle point | 90C31 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C46 | 49B27 | 90C29 | 49A52 | Economic models | Constraints | Nonlinear programming | Efficiency | Saddle points | Optimization

Nonconvex vector optimization | Proper efficiency | Quasi-relative interior | Saddle point | 90C31 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C46 | 49B27 | 90C29 | 49A52 | Economic models | Constraints | Nonlinear programming | Efficiency | Saddle points | Optimization

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 12/2019, Volume 27, Issue 4, pp. 995 - 1023

Using techniques of variational analysis, necessary and sufficient subdifferential conditions for Hölder error bounds are investigated and some new estimates...

90C31 | Semi-infinite programming | Hölder error bounds | 49J53 | 90C25 | Analysis | 90C34 | Mathematics | Convex programming | Optimization | Hölder calmness

90C31 | Semi-infinite programming | Hölder error bounds | 49J53 | 90C25 | Analysis | 90C34 | Mathematics | Convex programming | Optimization | Hölder calmness

Journal Article

Mathematical Programming, ISSN 0025-5610, 2/2013, Volume 137, Issue 1, pp. 257 - 288

Mathematical programs with equilibrium constraints (MPECs) are difficult optimization problems whose feasible sets do not satisfy most of the standard...

Global convergence | Constraint qualification | 65K05 | Theoretical, Mathematical and Computational Physics | Mathematics | 90C31 | Mathematical Methods in Physics | Performance profiles | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Mathematical programs with complementarity constraints | Relaxation method | Combinatorics | MATHEMATICS, APPLIED | ELASTIC MODE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUALIFICATION | REGULARIZATION SCHEME | CONVERGENCE | STATIONARITY | LINEAR-DEPENDENCE CONDITION | Studies | Numerical analysis | Optimization | Mathematical programming | Theorems | Collection | Mathematical models | Standards | Convergence

Global convergence | Constraint qualification | 65K05 | Theoretical, Mathematical and Computational Physics | Mathematics | 90C31 | Mathematical Methods in Physics | Performance profiles | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Mathematical programs with complementarity constraints | Relaxation method | Combinatorics | MATHEMATICS, APPLIED | ELASTIC MODE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUALIFICATION | REGULARIZATION SCHEME | CONVERGENCE | STATIONARITY | LINEAR-DEPENDENCE CONDITION | Studies | Numerical analysis | Optimization | Mathematical programming | Theorems | Collection | Mathematical models | Standards | Convergence

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 12/2018, Volume 72, Issue 4, pp. 705 - 729

This paper continues our recent effort in applying continuous optimization techniques to study optimal multicast communication networks modeled as bilevel...

DC programming | Nesterov’s smoothing techniques | Subgradient | Fenchel conjugate | Hierarchical clustering | 90C31 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 49J53 | 49J52 | Nesterov's smoothing techniques | Mathematical optimization | Methods | Algorithms | Multicast | Cluster analysis | Smoothing | Optimization techniques | Distance measurement | Clustering | Communication networks | Optimization | Gauges

DC programming | Nesterov’s smoothing techniques | Subgradient | Fenchel conjugate | Hierarchical clustering | 90C31 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 49J53 | 49J52 | Nesterov's smoothing techniques | Mathematical optimization | Methods | Algorithms | Multicast | Cluster analysis | Smoothing | Optimization techniques | Distance measurement | Clustering | Communication networks | Optimization | Gauges

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2019, Volume 182, Issue 3, pp. 984 - 1000

In this paper, we deal with robust optimal solution sets for a class of optimization problems with data uncertainty in both the objective and constraints. We...

Uncertain optimization | Robust optimal solution set | Mathematics | Theory of Computation | Optimization | 90C31 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mixed-type duality | Lagrangian-type function | Applications of Mathematics | Engineering, general | 49K35 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVEX-PROGRAMS | Electrical engineering | Electric properties | Robustness (mathematics)

Uncertain optimization | Robust optimal solution set | Mathematics | Theory of Computation | Optimization | 90C31 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mixed-type duality | Lagrangian-type function | Applications of Mathematics | Engineering, general | 49K35 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVEX-PROGRAMS | Electrical engineering | Electric properties | Robustness (mathematics)

Journal Article

Mathematical Programming, ISSN 0025-5610, 9/2019, Volume 177, Issue 1, pp. 425 - 438

This paper deals with a class of cone-reducible constrained optimization problems which encompasses nonlinear programming, semidefinite programming,...

Augmented Lagrangian method | Semidefinite programming | 65K05 | Theoretical, Mathematical and Computational Physics | Error bound | Mathematics | Second-order cone programming | 90C31 | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C22 | C^2$$ C 2 -cone reducible sets | Combinatorics | Local convergence | Rate of convergence

Augmented Lagrangian method | Semidefinite programming | 65K05 | Theoretical, Mathematical and Computational Physics | Error bound | Mathematics | Second-order cone programming | 90C31 | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C22 | C^2$$ C 2 -cone reducible sets | Combinatorics | Local convergence | Rate of convergence

Journal Article

Mathematical Programming, ISSN 0025-5610, 11/2019, Volume 178, Issue 1, pp. 381 - 415

Due to the possible lack of primal-dual-type error bounds, it was not clear whether the Karush–Kuhn–Tucker (KKT) residuals of the sequence generated by the...

Augmented Lagrangian method | 65K05 | Theoretical, Mathematical and Computational Physics | Implementable criteria | Mathematics | Quadratic growth condition | 90C31 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | R-superlinear | 90C22 | Combinatorics | Convex composite conic programming | MATRIX | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | NONDEGENERACY | ALGORITHM | MULTIPLIERS | LOCAL CONVERGENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | REGULARITY | EQUALITY | CONSTRAINTS | ERROR-BOUNDS | Methods | Management science | Solvers | Lagrange multiplier | Convergence | Mathematical programming

Augmented Lagrangian method | 65K05 | Theoretical, Mathematical and Computational Physics | Implementable criteria | Mathematics | Quadratic growth condition | 90C31 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | R-superlinear | 90C22 | Combinatorics | Convex composite conic programming | MATRIX | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | NONDEGENERACY | ALGORITHM | MULTIPLIERS | LOCAL CONVERGENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | REGULARITY | EQUALITY | CONSTRAINTS | ERROR-BOUNDS | Methods | Management science | Solvers | Lagrange multiplier | Convergence | Mathematical programming

Journal Article

Numerical Algorithms, ISSN 1017-1398, 6/2016, Volume 72, Issue 2, pp. 435 - 445

The class of B-Nekrasov matrices is a subclass of P-matrices that contains Nekrasov Z-matrices with positive diagonal entries as well as B-matrices. Error...

Numeric Computing | B -Nekrasov matrices | Theory of Computation | 15A48 | 90C31 | Nekrasov matrices | 65G50 | Algorithms | Algebra | Numerical Analysis | 90C33 | Computer Science | Error bounds | Linear complementarity problems | B -matrices | B-matrices | B-Nekrasov matrices | MATHEMATICS, APPLIED | P-MATRIX

Numeric Computing | B -Nekrasov matrices | Theory of Computation | 15A48 | 90C31 | Nekrasov matrices | 65G50 | Algorithms | Algebra | Numerical Analysis | 90C33 | Computer Science | Error bounds | Linear complementarity problems | B -matrices | B-matrices | B-Nekrasov matrices | MATHEMATICS, APPLIED | P-MATRIX

Journal Article

Mathematical Programming, ISSN 0025-5610, 11/2015, Volume 153, Issue 2, pp. 333 - 362

In this paper we derive new fractional error bounds for polynomial systems with exponents explicitly determined by the dimension of the underlying space and...

Variational analysis | Łojasiewicz’s inequality | Polynomial optimization and complementarity | 26D10 | Theoretical, Mathematical and Computational Physics | Hölderian stability | Mathematics | 90C26 | 90C31 | Mathematical Methods in Physics | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Error bounds | Polynomials | Combinatorics | Generalized differentiation | LOJASIEWICZ EXPONENT | MATHEMATICS, APPLIED | WEAK SHARP MINIMA | INEQUALITY | Holderian stability | TILT STABILITY | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | NONSMOOTH | Lojasiewicz's inequality | LINEAR REGULARITY | Studies | Optimization | Mathematical programming | Errors | Tensors | Stability | Exponents | Mathematical analysis | Eigenvalues

Variational analysis | Łojasiewicz’s inequality | Polynomial optimization and complementarity | 26D10 | Theoretical, Mathematical and Computational Physics | Hölderian stability | Mathematics | 90C26 | 90C31 | Mathematical Methods in Physics | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Error bounds | Polynomials | Combinatorics | Generalized differentiation | LOJASIEWICZ EXPONENT | MATHEMATICS, APPLIED | WEAK SHARP MINIMA | INEQUALITY | Holderian stability | TILT STABILITY | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | NONSMOOTH | Lojasiewicz's inequality | LINEAR REGULARITY | Studies | Optimization | Mathematical programming | Errors | Tensors | Stability | Exponents | Mathematical analysis | Eigenvalues

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2018, Volume 179, Issue 1, pp. 86 - 102

This paper focuses on a unified approach to characterizing different kinds of multiobjective robustness concepts. Based on linear and nonlinear scalarization...

90C29 | Mathematics | Theory of Computation | Linear and nonlinear scalarization | Image space analysis | Optimization | 90C31 | Uncertain multiobjective optimization | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Robustness | Applications of Mathematics | Engineering, general | Set order relations | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | IMAGE | DUALITY | Multiple objective analysis | Mathematical programming

90C29 | Mathematics | Theory of Computation | Linear and nonlinear scalarization | Image space analysis | Optimization | 90C31 | Uncertain multiobjective optimization | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Robustness | Applications of Mathematics | Engineering, general | Set order relations | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | IMAGE | DUALITY | Multiple objective analysis | Mathematical programming

Journal Article

Mathematical Programming, ISSN 0025-5610, 7/2016, Volume 158, Issue 1, pp. 35 - 75

This paper studies stability aspects of solutions of parametric mathematical programs and generalized equations, respectively, with disjunctive constraints. We...

Metric subregularity | Variational analysis | Theoretical, Mathematical and Computational Physics | Upper Hölder stability | Stationarity | Upper Lipschitz stability | Mathematics | 90C31 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49K40 | Numerical Analysis | 90C33 | Mathematical programs with disjunctive constraints | Combinatorics | MATHEMATICS, APPLIED | 2ND-ORDER OPTIMALITY CONDITIONS | CALMNESS | MULTIFUNCTIONS | STATIONARY POINTS | CONSTRAINT QUALIFICATIONS | VANISHING CONSTRAINTS | SENSITIVITY | NONSMOOTH MATHEMATICAL PROGRAMS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Upper Holder stability | Studies | Theorems | Mathematical models | Mathematical programming

Metric subregularity | Variational analysis | Theoretical, Mathematical and Computational Physics | Upper Hölder stability | Stationarity | Upper Lipschitz stability | Mathematics | 90C31 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49K40 | Numerical Analysis | 90C33 | Mathematical programs with disjunctive constraints | Combinatorics | MATHEMATICS, APPLIED | 2ND-ORDER OPTIMALITY CONDITIONS | CALMNESS | MULTIFUNCTIONS | STATIONARY POINTS | CONSTRAINT QUALIFICATIONS | VANISHING CONSTRAINTS | SENSITIVITY | NONSMOOTH MATHEMATICAL PROGRAMS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Upper Holder stability | Studies | Theorems | Mathematical models | Mathematical programming

Journal Article

16.
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Critical multipliers in variational systems via second-order generalized differentiation

Mathematical Programming, ISSN 0025-5610, 6/2018, Volume 169, Issue 2, pp. 605 - 648

In this paper we introduce the notions of critical and noncritical multipliers for variational systems and extend to a general framework the corresponding...

Theoretical, Mathematical and Computational Physics | Composite optimization | Mathematics | Lipschitzian stability | Critical and noncritical multipliers | Variational systems | 90C31 | Mathematical Methods in Physics | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Combinatorics | Robust isolated calmness | Generalized differentiation | Piecewise linear functions | MATHEMATICS, APPLIED | CALMNESS | EQUATIONS | TILT STABILITY | LIPSCHITZIAN | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONSTRAINT SYSTEMS | OPTIMIZATION | COMPUTATION | 1ST-ORDER | DERIVATIVES | FULL STABILITY | Algorithms | Economic models | Minimax technique | Maps | Multipliers | Robustness (mathematics) | Equivalence | Optimization

Theoretical, Mathematical and Computational Physics | Composite optimization | Mathematics | Lipschitzian stability | Critical and noncritical multipliers | Variational systems | 90C31 | Mathematical Methods in Physics | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Combinatorics | Robust isolated calmness | Generalized differentiation | Piecewise linear functions | MATHEMATICS, APPLIED | CALMNESS | EQUATIONS | TILT STABILITY | LIPSCHITZIAN | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONSTRAINT SYSTEMS | OPTIMIZATION | COMPUTATION | 1ST-ORDER | DERIVATIVES | FULL STABILITY | Algorithms | Economic models | Minimax technique | Maps | Multipliers | Robustness (mathematics) | Equivalence | Optimization

Journal Article

17.
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A note on semicontinuity of the solution mapping for parametric set optimization problems

Optimization Letters, ISSN 1862-4472, 7/2019, Volume 13, Issue 5, pp. 1085 - 1094

The present work is devoted to studying the stability of a parametric set optimization problem. In particular, based on the partial order relation on the...

90C31 | Computational Intelligence | 49K40 | Operations Research/Decision Theory | 47H09 | Solution mapping | Mathematics | Numerical and Computational Physics, Simulation | Set optimization problem | Semicontinuity | Optimization

90C31 | Computational Intelligence | 49K40 | Operations Research/Decision Theory | 47H09 | Solution mapping | Mathematics | Numerical and Computational Physics, Simulation | Set optimization problem | Semicontinuity | Optimization

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 4/2019, Volume 181, Issue 1, pp. 163 - 183

Our purpose is to investigate several properties of the solution map of tensor complementarity problems. To do this, we focus on the R0-tensors and show some...

Local upper-Hölder stability | Upper semicontinuity | Lower semicontinuity | Semi-algebraic set | 14P10 | Tensor complementarity problem | Mathematics | Theory of Computation | Local boundedness | Optimization | 90C31 | Calculus of Variations and Optimal Control; Optimization | Finite-valuedness | Operations Research/Decision Theory | Solution map | 90C33 | R0-tensor | Applications of Mathematics | Engineering, general | 54C60 | MATHEMATICS, APPLIED | Local upper-Holder stability | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SEMI-POSITIVE TENSORS | Mathematical analysis | Tensors

Local upper-Hölder stability | Upper semicontinuity | Lower semicontinuity | Semi-algebraic set | 14P10 | Tensor complementarity problem | Mathematics | Theory of Computation | Local boundedness | Optimization | 90C31 | Calculus of Variations and Optimal Control; Optimization | Finite-valuedness | Operations Research/Decision Theory | Solution map | 90C33 | R0-tensor | Applications of Mathematics | Engineering, general | 54C60 | MATHEMATICS, APPLIED | Local upper-Holder stability | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SEMI-POSITIVE TENSORS | Mathematical analysis | Tensors

Journal Article