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Quasidifferential Calculus

https://doi.org/10.1007/bfb0121132
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An Invitation to Intrinsic Compositional Data Analysis Using Projective Geometry and Hilbert’s Metric
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Quasidifferentiable Optimization: Calculus of Quasidifferentials
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Introduction
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Optimality conditions for bilevel programming problems
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Optimality criteria for bilevel programming problems using the radial subdifferential
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Quasidifferentiable Optimization: Calculus of Quasidifferentials
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Supremal Generators of Spaces of Homogeneous Functions
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Elements from Nonsmooth Analysis
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Alternance Form of Optimality Conditions in the Finite-Dimensional Space
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Demyanov Difference in Infinite-Dimensional Spaces
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On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization
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Necessary Conditions for an Extremum, Penalty Functions and Regularity
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Quasidifferentiability and Related Topics
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An Introduction to Quasidifferential Calculus
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Approximations to Convex-Valued Multifunctions
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Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison
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Dual Representations of Classes of Positively Homogeneous Functions
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Exhausters and Convexificators — New Tools in Nonsmooth Analysis
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Optimality Conditions with Lagrange Multipliers for Inequality Constrained Quasidifferentiable Optimization
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Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus
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QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys
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Smoothness of Nonsmooth Functions
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Correction Theorems for Nonsmooth Systems
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Separation of Finitely Many Convex Sets and Data Pre-classification
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Some Methods for Minimizing of d.c. Functions
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Quasidifferentiable Optimization: Calculus of Quasidifferentials
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Introduction to Nonsmooth Optimization Problems
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On Extensions of the Second-Order Derivative
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The Comparison Principle: Nonlinearity and Nonconvexity
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Desirability Functions in Multiresponse Optimization
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Estimation of Star-Shaped Reachable Sets of Nonlinear Control Systems
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Nonsmooth Optimization
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A Note on the Kernelled Quasidifferential in the n −Dimensional Space
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Abstract nonsmooth nonconvex programming
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Does the Special Choice of Quasidifferentials Influence Necessary Minimum Conditions?
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Implicit Functions and Regular Points in Quasidifferentiable Optimization
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Numerical Results on Computing the Vector in the Convex Hull of a Finite Set of Points Having Minimal Length
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A Note on Constraint Qualifications in Quasidifferentiable Programming
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On Some Differentiability Problems
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On the Reconstruction Problem for Nondifferentiable Functions
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Nonconvex Superpotentials and Hemivariational Inequalities. Quasidifferentiability in Mechanics
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On Quasidifferentiable Mathematical Programming Problems with Vanishing Constraints
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Stability of elastic bodies with nonmonotone multivalued boundary conditions of the quasidifferential type
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New types of variational principles based on the notion of quasidifferentiability
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Minimal pairs of convex compact sets
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On minimal convex pairs of convex compact sets
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Some criteria for the minimality of pairs of compact convex sets
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On generalized gradients
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Descent methods for quasidifferentiable minimization
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Constraint qualifications in quasidifferentiable optimization
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Reduction of quasidifferentials and minimal representations
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Directional differentiability of optimal solutions under Slater's condition
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Directional derivative estimates for the optimal value function of a quasidifferentiable programming problem
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Quasidifferentials and maximal normal operators
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A nonsmooth variant of the Mangasarian-Fromovitz constraint qualification
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OnG-semidifferentiable functions in Euclidean spaces
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An implicit function theorem for directionally differentiable functions
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Generalized derivatives and nonsmooth optimization, a finite dimensional tour
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On fractional programming containing support functions
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Second order duality for fractional programming with support functions
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Piecewise linear approximations in nonconvex nonsmooth optimization
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Commutative semigroups with cancellation law: a representation theorem
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On quasidifferentiable interval-valued multiobjective optimization
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A Geometric Representation of the Morse Fan
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Reduction of finite exhausters
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Proper and adjoint exhausters in nonsmooth analysis: optimality conditions
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On minimal representations by a family of sublinear functions
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On some geometric conditions for minimality of DCH-functions via DC-duality approach
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Order cancellation law in the family of bounded convex sets
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Reducing Exhausters
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Optimality Conditions in Terms of Alternance: Two Approaches
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Reduced Pairs of Compact Convex Sets and Ordered Median Functions
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Positively Homogeneous Functions Revisited
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Quaisidifferentials in Kantorovich Spaces
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Conditions on Twice Continuous Codifferentiability of Quasidifferentiable Functions
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Convex Difference Criteria for the Quantitative Stability of Parametric Quasidifferentiable Systems
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Decomposition of Minkowski–Rådström–Hörmander Space to the Direct Sum of Symmetric and Asymmetric Subspaces
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Minimizing the difference of two quasiconvex functions
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Generalized K-T conditions and penalty functions for quasidifferentiable programming
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On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems
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Nonsmooth quasidifferentiable vector optimization problems with variational inequalities for V-invexity
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On Continuous Codifferentiability of Quasidifferentiable Functions
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Semismoothness and decomposition of maximal normal operators
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A new class of multilevel decomposition algorithms for non monotone problems based on the quasidifferentiability concept
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Non differentiable symmetric duality
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Equilibrium with fixed budgets and superlinear connections
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First-Order Algorithms for Generalized Semi-Infinite Min-Max Problems
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The Rise of Nonsmooth Analysis: Its Main Tools
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A Solution Method for a Special Class of Nondifferentiable Unconstrained Optimization Problems
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Smooth Transformation of the Generalized Minimax Problem
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Continuous Subdifferential Approximations and Their Applications
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Multivalued Analysis and Differential Properties of Multivalued Mappings
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On Constraint Qualifications in Nonsmooth Optimization
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Constrained nonsmooth problems of the calculus of variations
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Constrained nonsmooth problems of the calculus of variations
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Method of quasidifferential descent in the problem of bringing a nonsmooth system from one point to another
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Multidirectional Mean Value Inequalities in Quasidifferential Calculus
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Some Dual Conditions for Global Weak Sharp Minimality of Nonconvex Functions
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Sufficient Optimality Conditions for a Bilevel Semivectorial D.C. Problem
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Fixed point theorem in nonsmooth analysis and its applications
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Fréchet quasidifferential calculus with applications to metric regularity of continuous maps
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Identification of point sets by quasidifferentiable functions
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Optimality conditions in terms of upper and lower exhausters
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Three criteria of minimality for pairs of compact convex sets
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Preface
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Exhausters and subdifferentials in non-smooth analysis
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Decomposition of the polyhedron from Albrecht Dürer's ‘Melencolia I’ to a minimal pair of compact convex sets
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Separation of convex sets by Clarke subdifferential
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Ordered median functions and symmetries
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Continuous piecewise linear functions on the octants of ℝn
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Proper exhausters and coexhausters in nonsmooth analysis
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Completeness in Minkowski–Rådström–Hörmander spaces
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Weak subdifferential/superdifferential, weak exhausters and optimality conditions
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Some relationships among quasidifferential, weak subdifferential and exhausters
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The formulas for the representation of functions of two variables as a difference of sublinear functions
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Quasidifferentiabilities of the expectation functions of random quasidifferentiable functions
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Separation, convexity and polarity in the space of normlinear functions
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Maximal pairs of convex sets and Zalgaller's minimal representation of dc-functions
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Minimally fine exhausters
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Maximal Demyanov difference
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A continuous set covering problem as a quasidifferentiable optimization problem
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On equivalent quasidifferentials in the two dimensional case
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Upper DSL Approximates and Nonsmooth Optimization
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A characterization of continuously codifferentiable functions and some consequences
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On necessary minimum conditions in quasidifferential calculus: independence of the specific choice of quasidifferentials
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A constraint qualification in quasidifferentiable programming
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A generalized steepest descent method for continuously subdifferentiable functions
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Piecewise affine functions and polyhedral sets∗
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Quasidifferntiability of optimal solutions in parametric optimal solutions in parametric nonlinear optimization
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Sublinear functions chich generate the group of normal forms of piecewise smooth morse Functions*
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Continuous approximations to generalized jacobians
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Nonconvex optimization of desirability functions
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Minmaxmin problems revisited
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A Method for Minimization of Quasidifferentiable Functions
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Optimization approach for clustering datasets with weights
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Data pre-classification and the separation law for closed bounded convex sets
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On the amount of minimal pairs of convex sets
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On minty variational principle for quasidifferentiable vector optimization problems
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Difference convex optimization techniques in nonsmooth computational mechanics
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On convex class of pairs of convex bodies
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On a continuous method for minimizing of nonsmooth functions
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A note on summands of compact convex sets
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Minimal pairs of convex bodies in two dimensions
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Order Cancellation Law in a Semigroup of Closed Convex Sets
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On pairs of closed bounded convex sets that lie in complementary subspaces
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On quasidifferential kernels
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CONTROL AND ESTIMATION FOR A CLASS OF IMPULSIVE DYNAMICAL SYSTEMS
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The quasidifferential calculus, separation of convex sets and the Demyanov difference
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Numericke metode za resavanje konveksnih nediferencijabilnih optimizacionih problema
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Classes of convex polyhedra closed under Minkowski addition
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On the Value Function of a Differential Game with Simple Dynamics and Piecewise Linear Data
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Experimental and Mathematical Investigation of the Thermophysical Properties of Coal–Water Slurries Based on Lignite
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Exhausters, coexhausters and converters in nonsmooth analysis
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Univariate geometric Lipschitz global optimization algorithms
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Optimal allocations with α‐MaxMin utilities, Choquet expected utilities, and prospect theory
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Some remarks on the space of differences of sublinear functions
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Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski–Rådström–Hörmander spaces
inferred← citeshttps://doi.org/10.4064/sm158-1-5openalex-snapshot
On the number of minimal pairs of compact convex sets that are not translates of one another
inferred← citeshttps://doi.org/10.4236/ajor.2014.45031openalex-snapshot
On a Control Problem Containing Support Functions
inferred← citeshttps://doi.org/10.47000/tjmcs.1330667openalex-snapshot
Some Results On Nonsmooth Systems including Max-type Functions
inferred← citeshttps://doi.org/10.5209/rev_rema.2003.v16.n2.16838openalex-snapshot
On reduced pairs of bounded closed convex sets
inferred← citeshttps://doi.org/10.68381/jca04018openalex-snapshot
Decompositions of Compact Convex Sets
inferred← citeshttps://doi.org/10.68381/jca07024openalex-snapshot
Minimal Pairs Representing Selections of Four Linear Functions in R 3
inferred← citeshttps://doi.org/10.68381/jca09007openalex-snapshot
Star-Kernels and Star-Differentials in Quasidifferential Analysis
inferred← citeshttps://doi.org/10.68381/jca11023openalex-snapshot
On the Representation Property of Kernels of Quasidifferentials
inferred← citeshttps://doi.org/10.68381/jca17013openalex-snapshot
The Intersection Property in the Family of Compact Convex Sets
inferred← citeshttps://doi.org/10.68381/jca18053openalex-snapshot
Continuous Selections, Free Vector Lattices and Formal Minkowski Differences
inferred← citeshttps://doi.org/10.70675/9263fb54z4ac8z403czb788z87ac65a699a0openalex-snapshot
Étude théorique et approximation numérique d’une nouvelle formule de dérivée de forme et applications
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