Keywords: 37C75; 54H20; 49J53; Measure shadowing; Measure topological stability; Stability theory;
مقالات ISI (ترجمه نشده)
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Keywords: 49J53; 35D30; 35D35; Mean curvature flow with prescribed contact angle; Sets of finite perimeter; Capillary functional; Minimizing movements;
Keywords: primary; 49J53; secondary; 58E30; Convex function; Hadamard space; Moreau envelope; Mosco convergence;
Keywords: variational-hemivariational inequality; Clarke subdifferential; locking material; unilateral constraint; nonmonotone friction; 47J20; 47J22; 49J53; 74M10; 74M15;
Keywords: primary; 54H20; secondary; 49J53; POTP; Topological stability; Expansive measure;
Keywords: primary; 93E20; secondary; 49J53; 60H07; 60H10; Stochastic optimal control; Malliavin calculus; Necessary conditions; Adjacent cone; Variational equation; Adjoint equation;
Keywords: Generalized equation; Kantorovich’s theorem; Newton’s method; Hilbert spaces; Majorant condition; Maximal monotone operator90C30; 49J53
Keywords: 49J52; 49J53; 49K24; 49M25; 90C30Optimal control; Maximal monotone differential inclusions; Normal cone mappings; Discrete approximations; Variational analysis; Generalized differentiation
Keywords: 49J52; 49J53; 49K24; 49M25; 90C30Optimal control; Sweeping process; Necessary optimality conditions; Discrete approximations; Variational analysis; Generalized differentiation
Keywords: Strong monotone mapping; Residual vector; Regularized gap function; D-gap function; Error bounds; 49C25; 49J53; 90C33;
Keywords: 49J53; 54C60; 90C46; 90C47Set-valued optimization; Scalarization; Minimax theorem
Keywords: 49J53; 49J52; 90C31; Lipschitz property; Generalized differentiation; Subdifferential; Coderivative; Minimal time function; Scalarization function;
Generalized Zermelo navigation on Hermitian manifolds under mild wind
Keywords: 53B20; 53C21; 53C22; 53C60; 49J15; 49J53; Zermelo navigation; Hermitian-Finsler manifold; Complex Randers metric; Perturbation;
Lagrange multipliers and transport densities
Keywords: 35R35; 49J53; 35J62; Lagrange multipliers; Non-constant gradient constraints; Elliptic quasilinear equations;
Generalized differentiation of piecewise linear functions in second-order variational analysis
Keywords: 49J52; 49J53; 58C20Nonlinear and variational analysis; Piecewise linear extended-real-valued functions; Normal cones; Coderivatives; First-order and second-order subdifferentials
Convexity of the images of small balls through nonconvex multifunctions
Keywords: 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: primary; 49J53; secondary; 47H04; 47H10; 54C60; 54H25; Ekeland variational principle; Weak Ekeland variational principle; Nadler fixed point theorem; Metric regularity; Aubin property; Differential inclusion;
Coderivatives of a Karush–Kuhn–Tucker point set map and applications
Keywords: 90C31; 49J53; 26B10Trust-region subproblem; KKT point set map; Normal cone; Coderivative; Local Lipschitz-like property
Characterization of metric regularity for σσ-subsmooth multifunctions
Keywords: 49J53; 90C29; 90C30Metric regularity; Linear openness; Subsmoothness; Coderivative
Application of codimension one foliation in Zermelo's problem on Riemannian manifolds
Keywords: 53A55; 53B20; 53C12; 49J53; 57R30Zermelo navigation; Riemannian manifold; Foliation; Euler–Lagrange equations; Path optimization
About the relaxed cocoercivity and the convergence of the proximal point algorithm
Keywords: Primary; 49J53; 65K10; Secondary; 49M37; 90C25Relaxed cocoercivity; Relaxed monotonicity; Proximal point algorithm; Strong convergence; Variational inequalities
On the Newton method for set-valued maps
Keywords: 49J53; 65K15; 90C30Newton’s method; Set-valued maps; Variational analysis
Pointwise well-posedness in set optimization with cone proper sets
Keywords: 49J53; 49K40Set optimization; Well-posedness; Strict minimizer; Scalarization; Gerstewitz’s map; Cone proper set; Quasiconvex set-valued map
Openness stability and implicit multifunction theorems: Applications to variational systems
Keywords: 90C30; 49J53; 54C60Set-valued mappings; Linear openness; Metric regularity; Lipschitz-like property; Implicit multifunctions
Four types of nonlinear scalarizations and some applications in set optimization
Keywords: 49J53; 90C29Set-valued map; Nonlinear scalarization; Alternative theorems; Optimality conditions; Takahashi’s minimization theorems
Generalized Newton’s method based on graphical derivatives
Keywords: 49J53; 65K15; 90C30Nonsmooth equations; Optimization and variational analysis; Newton’s method; Graphical derivatives and coderivatives; Local and global convergence
Error bounds for vector-valued functions: Necessary and sufficient conditions
Keywords: 49J52; 49J53; 58C06Variational analysis; Error bounds; Subdifferential; Slope
Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems
Keywords: 49J53; 49K27; 90C29; 90C33Set-valued optimization problem; Set-valued equilibrium problem; Vector equilibrium problem; Vector variational inequality; Normal cone; Coderivative; Necessary optimality conditions; Sufficient optimality conditions; Pareto effi
On coderivatives and Lipschitzian properties of the dual pair in optimization
Keywords: 90C34; 90C48; 90C31; 49J53; 46A20Semi-infinite and infinite-dimensional programming; Dual pair and duality theory; Stability; Lipschitz-like property and Lipschitz moduli; Coderivative
Necessary optimality conditions for bilevel minimization problems
Keywords: 90C29; 49J52; 49J53; Bilevel minimization problem; Generalized differentiation; Implicit function theorem; Necessary optimality conditions;
Linearly perturbed polyhedral normal cone mappings and applications
Keywords: 49J53; 49J52; 49J40Perturbed polyhedron; Normal cone mapping; Fréchet coderivative; Mordukhovich coderivative; Linear independence condition; Positive linear independence condition; Parametric affine variational inequality
Variational sets: Calculus and applications to nonsmooth vector optimization
Keywords: 49J53; 90C29Higher-order variational sets of various kinds; Calculus rules; Semi-compactness; Optimality conditions; Weak solutions; Variational inequalities
Local C1(Ω¯)-minimizers versus local W1,p(Ω)-minimizers of nonsmooth functionals
Keywords: 34A60; 35R70; 49J52; 49J53; Clarke's generalized gradient; Local minimizers; Nonsmooth functionals; p-Laplacian;
Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle
Keywords: 49J53; 58E30Set-valued optimization; Set solution criterion; Approximate solution; Strict solution; Existence theorem; Ekeland variational principle
A generalized distance and enhanced Ekeland’s variational principle for vector functions
Keywords: 58E30; 58E47; 65K10; 49J53; 90C48Ekeland’s variational principle; Weak ττ-functions; Lower closed transitive relations; (e,K)(e,K)-lower semicontinuity; (e,K)(e,K)-lower semicontinuity from above; p-strict minimizers; p-sharp minimizers
Analysis of a dynamic contact problem for electro-viscoelastic cylinders
Keywords: 74M10; 74F15; 74G25; 74H20; 74H25; 49J40; 49J53; Antiplane shear; Piezoelectric material; Frictional contact; Hemivariational inequality; Clarke subdifferential; Evolutionary inclusion; Weak solution;
On a class of Newton-like methods for solving nonlinear equations
Keywords: 65K10; 65G99; 65J99; 49M15; 49J53; 47J20; 47H04Newton-like methods; Banach space; Fréchet-derivative; Divided difference; Convergence domain; Newton’s method; Secant method; Nonlinear integral equation of the Chandrasekhar type
Locally Lipschitz selections in Banach lattices
Keywords: 49J53; 60H20; 93E03Order complete Banach lattice; Upper separated multifunction; Legendre–Fenchel transform; Convex selection; Differential inclusion; Stochastic differential inclusion
Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities
Keywords: 49J53; 49J35; 91B50KKM property; Transfer open valued; Coincidence theorem; Maximal element; Equilibrium problem; Minimax inequality
Generalized abstract economy and systems of generalized vector quasi-equilibrium problems
Keywords: 91A10; 90C29; 58E35; 49J53; 49J40Generalized abstract economy; Systems of generalized vector quasi-equilibrium problems; Systems of mixed vector quasi-variational inequalities; Debreu-type equilibrium problems; C(x)C(x)-quasi-convexity; Concavity; Escapin
Necessary and sufficient conditions for stable conjugate duality
Keywords: 90C25; 49J52; 49J53; 49J35; 65K10Conjugate duality; Constraint qualifications; Convex programming; Polyhedral functions; Sublinear functions
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
Keywords: primary; 26B25; 47H04; 49J52; 49J53; secondary; 47H05; 49K27Subdifferential representation formula; Monotonicity; Cone decreasing property; Directionally Lipschitzian behavior; pln function; Convexly composite function
Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings
Keywords: 49J40; 47H05; 47J25; 47J20; 49J53; Parametric completely generalized mixed implicit quasi-variational inclusion; h-maximal monotone mapping; Resolvent operator; Sensitivity analysis;
Existence results for Stampacchia and Minty type implicit variational inequalities with multivalued maps
Keywords: 49J40; 49J53; 47H04; Stampacchia (Minty) type implicit variational inequalities; Segment-dense sets; Cx-quasiconvexity; Upper (lower) semicontinuity; Dense pseudomontonicity;