Keywords: منظم بودن متریک; Metric regularity; Linear openness; One-sided directional derivative; Strict pseudo H-differentiability; Contingent variation; Strong and weak operator topology;
مقالات ISI منظم بودن متریک (ترجمه نشده)
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Keywords: منظم بودن متریک; Generalized equation; Newton's method; Metric regularity; Kantorovich's theorem; Smale's (α,γ)(α,γ)-theory; Variational analysis
Convexity of the images of small balls through nonconvex multifunctions
Keywords: منظم بودن متریک; 49J53; 52A05; 90C48Convex multifunction; Uniformly convex Banach space; Modulus of convexity; Metric regularity; Polyak convexity principle; Set-valued optimization
The weak Ekeland variational principle and fixed points
Keywords: منظم بودن متریک; primary; 49J53; secondary; 47H04; 47H10; 54C60; 54H25; Ekeland variational principle; Weak Ekeland variational principle; Nadler fixed point theorem; Metric regularity; Aubin property; Differential inclusion;
About [q]-regularity properties of collections of sets
Keywords: منظم بودن متریک; Metric regularity; Uniform regularity; Normal cone; Subdifferential;
Structure and stability of restrictively metrically regular mappings
Keywords: منظم بودن متریک; Metric regularity; Restrictive metric regularity; Lyusternik–Graves Theorem; Eckart–Young Theorem; Perturbations; Variational analysis
On the Polyak convexity principle and its application to variational analysis
Keywords: منظم بودن متریک; primary, 52A05; secondary, 49J52, 90C46, 90C48Uniformly convex Banach space; Modulus of convexity; C1,1 mapping; Metric regularity; Constrained optimization; Lagrangian duality; Value function
Metric regularity, tangential distances and generalized differentiation in Banach spaces
Keywords: منظم بودن متریک; primary, 49J52, 49J53; secondary, 46B20, 58C20, 90C31Variational analysis; Metric regularity; Generalized differentiation; Normal cones; Coderivatives; Calculus rules; Set images; Normal compactness
Implicit multifunction theorems with positively homogeneous maps
Keywords: منظم بودن متریک; Implicit multifunction; Metric regularity; Variational system
Openness stability and implicit multifunction theorems: Applications to variational systems
Keywords: منظم بودن متریک; 90C30; 49J53; 54C60Set-valued mappings; Linear openness; Metric regularity; Lipschitz-like property; Implicit multifunctions
On mappings covering at a nonlinear rate and their perturbation stability
Keywords: منظم بودن متریک; primary, 49J53; secondary, 46A30, 47H04, 49J52, 90C48Open covering; Metric regularity; Lipschitzian behaviour; Hölder continuity; Ekeland’s variational principle; Exact penalization
Local linear convergence of approximate projections onto regularized sets
Keywords: منظم بودن متریک; 49M20; 65K10; 90C30Alternating projections; Linear convergence; Ill-posed; Regularization; Metric regularity; Distance to ill-posedness; Variational analysis; Nonconvex; Extremal principle; Prox-regular
Constrained open mapping theorem with applications
Keywords: منظم بودن متریک; Open mapping; Metric regularity; Graves theorem; Constrained controllability; Differentiable selection; Inverse mapping;
Openness properties for parametric set-valued mappings and implicit multifunctions
Keywords: منظم بودن متریک; 90C29; 90C26; 49J52Set-valued mappings; Normal coderivative; Openness; Implicit multifunctions; Metric regularity
Uniform subsmoothness and linear regularity for a collection of infinitely many closed sets
Keywords: منظم بودن متریک; 90C31; 90C46; 49J52; 49K40Uniform subsmoothness; Metric regularity; Linear regularity; CHIP; Strong CHIP; Property (G)
Stability of Mann’s iterates under metric regularity
Keywords: منظم بودن متریک; Mann’s iteration; Set-valued mapping; Metric regularity; Strong metric regularity; Strong metric subregularity
Coderivative calculus and metric regularity for constraint and variational systems
Keywords: منظم بودن متریک; Variational analysis and optimization; Generalized differentiation; Coderivatives; Calculus rules; Metric regularity; Exact bounds; Conditioning
Failure of metric regularity for major classes of variational systems
Keywords: منظم بودن متریک; Variational analysis and optimization; Generalized differentiation; Metric regularity; Lipschitzian properties; Parametric variational systems