Stability of Locally Optimal Solutions
From MaRDI portal
Publication:4943944
DOI10.1137/S1052623498348274zbMath0965.49018MaRDI QIDQ4943944
R. A. Poliquin, Adam B. Levy, R. Tyrrell Rockafellar
Publication date: 19 March 2000
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
prox-regular functionsLipschitzian stabilitytilt stabilityamenable functionsparameterized optimizationcoderivative Hessians
Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)
Related Items
Stability of variational inequalities and prox-regularity in Hilbert space, Stability analysis for composite optimization problems and parametric variational systems, Calmness and Stability Properties of Marginal and Performance Functions, Feasible methods for nonconvex nonsmooth problems with applications in green communications, Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions, Stable global well-posedness and global strong metric regularity, On the local stability of semidefinite relaxations, Critical multipliers in variational systems via second-order generalized differentiation, Stability of generalized equations under nonlinear perturbations, Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities, Second-order analysis of piecewise linear functions with applications to optimization and stability, Normal and mixed partial second-order subdifferentials in variational analysis and optimization, Second-order subdifferentials and convexity of real-valued functions, Optimality conditions for nonsmooth multiobjective bilevel optimization problems, Characterization of Tilt Stability via Subgradient Graphical Derivative with Applications to Nonlinear Programming, On second-order proto-differentiability of perturbation maps, Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces, New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization, Implications of the constant rank constraint qualification, Variational Convexity of Functions and Variational Sufficiency in Optimization, Aubin property for solution set in multi-objective programming, Robust Optimality and Duality in Multiobjective Optimization Problems under Data Uncertainty, Graphical derivatives and stability analysis for parameterized equilibria with conic constraints, Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials, CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS, Fully stable well-posedness and fully stable minimum with respect to an admissible function, Full stability of general parametric variational systems, A study of tilt-stable optimality and sufficient conditions, Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space, Subgradients of Marginal Functions in Parametric Control Problems of Partial Differential Equations, Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives, On the solution stability of variational inequalities, Isolated efficiency in nonsmooth semi-infinite multi-objective programming, Variational analysis of Nash equilibrium, Stability of saddle points via explicit coderivatives of pointwise subdifferentials, Robinson Stability of Parametric Constraint Systems via Variational Analysis, Unnamed Item, On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality, Unnamed Item, Fully Hölderian Stable Minimum with Respect to Both Tilt and Parameter Perturbations, Optimality and duality for robust multiobjective optimization problems, Second-order characterizations of tilt stability with applications to nonlinear programming, Local Monotonicity and Full Stability for Parametric Variational Systems, Unnamed Item, Degree theory for generalized variational inequalities and applications, New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors, Characterizations of linear suboptimality for mathematical programs with equilibrium constraints, Second-order characterization of convex functions and its applications, Variational analysis of circular cone programs, Full Stability for a Class of Control Problems of Semilinear Elliptic Partial Differential Equations, Criticality of Lagrange multipliers in extended nonlinear optimization, Robustness in deterministic multi-objective linear programming with respect to the relative interior and angle deviation, Tilt stability for quadratic programs with one or two quadratic inequality constraints, Full Stability in Finite-Dimensional Optimization, Variational convexity and the local monotonicity of subgradient mappings, Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms, Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it, Variational analysis and full stability of optimal solutions to constrained and minimax problems, Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it, Partial Second-Order Subdifferentials in Variational Analysis and Optimization, Robust aspects of solutions in deterministic multiple objective linear programming