Geodesic

Sommaire du Fascicule no. 1

Foreword
p. 3-4
A Few Words about my Trajectory
p. 5-18
Sufficient Condition for Tangential Transversality
p. 19-3
Interval-Decomposability of Continuous Functions, and Convexity
p. 31-48
Lower Bound of the Upper Topological Limit of a Sequence of Subspaces
p. 49-51
Echelons of Sets on Dispersion Gaps: Tools for Cluster Analysis
p. 53-78
Prescribing Tangent Hyperplanes to C1,1 and C1, ω Convex Hypersurfaces in Hilbert and Superreflexive Banach Spaces
p. 79-102
Lipschitz Stability of Extremal Problems with a Strongly Convex Set
p. 103-116
Asymmetry Measures for Convex Distance Functions
p. 117-138
Second-Order Analysis for the Time Crisis Problem
p. 139-163
A Uniform Approach to Hölder Calmness of Subdifferentials
p. 165-178
Higher Order Problems in the Calculus of Variations: Du Bois-Reymond Condition and Regularity of Minimizers
p. 179-204
Ioffe-Type Criteria in Extended Quasi-Metric Spaces
p. 205-226
Existence and Uniqueness of Solutions for an Integral Perturbation of Moreau's Sweeping Process
p. 227-236
Various Lipschitz-Like Properties for Functions and Sets. II: Subdifferential and Normal Characterizations
p. 237-276
On the Homotopical Stability of Isolated Critical Points of Continuous Functions
p. 277-284
Nonlinear Transversality of Collections of Sets: Dual Space Necessary Characterizations
p. 285-306
Non Approximate Derivabilityof the Takagi Function
p. 307-312
Subdifferentiation of the Infimal Convolution and Minimal Time Problems
p. 313-333
The Chain Rule for VU-Decompositions of Nonsmooth Functions
p. 335-36
Nonlinear Images of Sets. I: Strong and Weak Convexity
p. 361-38
On Characterizations of Metric Regularity of Multi-Valued Maps
p. 381-388

Sommaire du Fascicule no. 2

Co-Radiant Set-Valued Mappings
p. 389-405
On Far and Near Ends of Closed and Convex Sets
p. 407-421
Stability Analysis of Partial Differential Set-Valued Variational Inequalities on Banach Spaces
p. 423-442
Regularization for Optimal Control Problems Associated to Nonlinear Evolution Equations
p. 443-485
On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function
p. 487-508
On the Metric Regularity of Affine Optimal Control Problems
p. 509-533
Convex Valued Geodesics and Applications to Sweeping Processes with Bounded Retraction
p. 535-556
Asymptotic Behavior of Continuous Descent Methods with a Convex Objective Function
p. 557-564
Optimality Conditions for Nonconvex Variational Problems with Integral Constraints in Banach Spaces
p. 565-581
Ellipsoidal Cones
p. 583-622
The Split Common Fixed Point Problem by the Hybrid Method for Families of New Demimetric Mappings in Banach Spaces
p. 623-644
Existence and Relaxation of BV Solutions for a Sweeping Process with a Nonconvex-Valued Perturbation
p. 645-672
Compactness of BV Solutions of a Convex Sweeping Process of Measurable Differential Inclusion
p. 673-695
Does Deconvolution Exist?
p. 697-704
On the Differentiability of Saddle and Biconvex Functions and Operators
p. 705-731
No-Gap Second-Order Conditions under n-Polyhedric Constraints and Finitely Many Nonlinear Constraints
p. 733-751
Lipschitz-like Property of Subdifferential Mapping of Convex Continuous Functions on Hilbert Space
p. 753-776
A Partial Condition Number Theorem in Mathematical Programming
p. 777-79

Sommaire du Fascicule no. 3

Sets in the Complex Plane Mapped into Convex Ones by Möbius Transformations
p. 791-81
Differentiability of the Argmin Function and a Minimum Principle for Semiconcave Subsolutions
p. 811-832
Existence of Solutions for Sweeping Processes with Local Conditions
p. 833-844
A Varifold Perspective on the p-Elastic Energy of Planar Sets
p. 845-879
Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space
p. 881-892
A Unified Splitting Algorithm for Composite Monotone Inclusions
p. 893-922
The Lipschitz Condition of the Metric Projection in the Plis Metric
p. 923-934
Describing Multiplicative Convex Functions
p. 935-942
A General Result About Inner Regularization of Sets
p. 943-958
Yosida Approximation Methods for Generalized Equilibrium Problems
p. 959-977
On the Structure Topology on the Set of all Extreme Points of the Closed Unit Ball of the Dual of a Banach Space
p. 979-988
The Plasticity of some Mass Transportation Networks in the Three Dimensional Euclidean Space
p. 989-1002
Characterizations of a Slow Growth Assumption in Variational Calculus and Gale-Klee Continuity of Epigraphs
p. 1003-1013
What is the Best Viscous Approximation to a Rate-Independent Process?
p. 1015-1032
Convex Extension of Lower Semicontinuous Functions Defined on Normal Hausdorff Space
p. 1033-1049
Ky-Fan and Sion Theorems for the Lexicographic Order and Applications to Vectorial Games and Min-Max Control Problems
p. 1051-1072
Opial and Saitoh Type Inequalities on Time Scales
p. 1073-109

Sommaire du Fascicule no. 4

Barrier Functions in Subdifferential Theory
p. 1091-1098
On Densely Complete Metric Spaces and Extensions of Uniformly Continuous Functions in ZF
p. 1099-1122
Nonlinear Images of Sets. II: Applications to Differential Games
p. 1123-1136
On Moving Chords in Constant Curvature 2-Manifolds
p. 1137-1156
Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology
p. 1157-1176
On the Convergence and Regularity of Aumann-Pettis Integrable Multivalued Martingales
p. 1177-1194
Convex Envelopes on Trees
p. 1195-1218
Some Characterizations of the Ellipsoid by Centroids of Concurrent Sections
p. 1219-1231
Integration of Multifunctions with Closed Convex Values in Arbitrary Banach Spaces
p. 1233-1246
Non-Occurrence of a Gap Between Bounded and Sobolev Functions for a Class of Nonconvex Lagrangians
p. 1247-1259
A Riemannian Corollary of Helly's Theorem
p. 1261-1275
Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn
p. 1277-1302
On the Properties of Convex Functions over Open Sets
p. 1303-1314
A Strict Mangasarian-Fromovitz Type Condition for Isoperimetric Control Problems
p. 1315-1344
MVT, Integration, and Monotonicity of a Generalized Subdifferential in Locally Convex Spaces
p. 1345-1362
Multiplicity of Positive Solutions for an Anisotropic Problem via Sub-Supersolution Method and Mountain Pass Theorem
p. 1363-1374