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Journal of Convex Analysis

Volume 32 (2025)

  Number 1, Number 2, Number 3, Number 4

Number 1

  [No. 1] [No. 2] [No. 3] [No. 4]

The following articles are so far only available in electronic form.
The printed versions will be published in February 2025.


Numbers 1--3 of this Volume are dedicated to Ralph Tyrrell Rockafellar on the occasion of his 90th birthday.

Photograph of R. T. Rockafellar

L. Thibault
Foreword to Volume 32, Numbers 1--3
1--4 [Abstract / Full Text]

R. T. Rockafellar
Looking back ...
5--8 [Abstract / Full Text]

L. Alsharief, A. Jourani
Coderivative of the Metric Projection of Strictly Hadamard Differentiable Sets in Euclidean Spaces
9--24 [Abstract / Full Text]

D. Anderson, P. Bankston, A. McCluskey
Betweenness-Induced Convexity in Hyperspaces of Normed Vector Spaces
25--60 [Abstract / Full Text]

Z. Artstein, V. Kadets
B-Convexity, Convexification of Minkowski Averages in a Banach Space, and SLLN for Random Sets
61--70 [Abstract / Full Text]

D. Aussel, J. Cotrina
Quasi-Equilibrium Problems with Non-Self Constraint Maps in Topological Spaces. Necessary and Sufficient Conditions for the Existence of Solutions
71--89 [Abstract / Full Text]

D. Azagra, M. Drake, P. Hajlasz
C2-Lusin Approximation of Strongly Convex Bodies
91--106 [Abstract / Full Text]

M. V. Balashov, K. Z. Biglov
Lipschitz Differentiability of the Supporting Function from a Geometric Viewpoint, the Nearest and the Farthest Points
107--118 [Abstract / Full Text]

H. H. Bauschke, M. K. Lal, X. Wang
Real Roots of Real Cubics and Optimization
119--144 [Abstract / Full Text]

T. Bayen, A. Bouali, F. Nacry
Hybrid Maximum Principle for Regional Optimal Control Problems with Nonsmooth Interfaces
145--168 [Abstract / Full Text]

G. Beer, M. D. Rice
McShane's Condition for the Modulus of Continuity
169--188 [Abstract / Full Text]

L. Boccardo, T. Gallouet
A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional
189--198 [Abstract / Full Text]

L. Briceño-Arias, S. López-Rivera, E. Vilches
Splitting Algorithms for Distributionally Robust Optimization
199--226 [Abstract / Full Text]

J.-P. Chancelier, M. De Lara
A Unified View of Polarity for Functions
227--262 [Abstract / Full Text]

M. Fabian, J. Kolar
Derivative of Inverse Mapping and Chain Rule Formulas for Gateaux Derivatives, Theorems and Counter-Examples
263--290 [Abstract / Full Text]

A. Figalli, J. P. G. Ramos
Improved Stability Versions of the Prékopa-Leindler Inequality
291--320 [Abstract / Full Text]

Number 2

  [No. 1] [No. 2] [No. 3] [No. 4]

Numbers 1--3 of this Volume are dedicated to Ralph Tyrrell Rockafellar on the occasion of his 90th birthday.

The following articles are so far only available in electronic form.
The printed versions will be published in May 2025.

Z.-J. Gong, A. A. Khan, M. Sama, A. Zalinescu
Estimating Random Coefficients in Mixed Variational Problems with an Application to the Stochastic Elasticity Imaging Inverse Problem for Tumor Identification
321--357 [Abstract / Full Text]

M. Ivanov, N. Zlateva
Slopes and the Moreau-Rockafellar Theorem
359--374 [Abstract / Full Text]

N. A. Jork, N. P. Osmolovskii, V. M. Veliov
Strong Metric (Sub)Regularity in Optimal Control
375--398 [Abstract / Full Text]

L. De Pascale, A. Kausamo, K. Wyczesany
60 Years of Cyclic Monotonicity: a Survey
399--430 [Abstract / Full Text]

P. D. Khanh, V. V. H. Khoa, J. E. Martínez-Legaz, B. S. Mordukhovich
Relationships between Global and Local Monotonicity of Operators
431--446 [Abstract / Full Text]

V. Krystof
Functions on a convex set which are both ω-semiconvex and ω-semiconcave II
447--466 [Abstract / Full Text]

N. Kundu, Y. Lucet
Closest Univariate Convex Linear-Quadratic Function Approximation with Minimal Number of Pieces
467--486 [Abstract / Full Text]

A. B. Levy
Basin Sensitivity via Continuity of Multiset-Valued Mappings
487--510 [Abstract / Full Text]

A. S. Lewis, A. Nicolae, T. Tian
Local Geometry of Feasible Regions via Smooth Paths
511--544 [Abstract / Full Text]

Z. Liu, S. A. Timoshin, Z. Yuan
Unbounded Perturbation of History-Dependent Evolution Inclusion with Difference of Two Subdifferentials
545--564 [Abstract / Full Text]

P. Marcellini
Some Remarks on Convexity
565--577 [Abstract / Full Text]

R. J. McCann, K. S. Zhang
Remark on Rochet and Choné's Square Screening Example
579--584 [Abstract / Full Text]

D. Mucci, A. Saracco
Conical Points of Convex Surfaces: Generalized Unit Normal and Angle Defect
585--603 [Abstract / Full Text]

N. M. Nam, N. N. Thieu, N. D. Yen
Near Convexity and Generalized Differentiation
605--630 [Abstract / Full Text]

Number 3

  [No. 1] [No. 2] [No. 3] [No. 4]

Numbers 1--3 of this Volume are dedicated to Ralph Tyrrell Rockafellar on the occasion of his 90th birthday.

The following articles are so far only available in electronic form.
The printed versions will be published in August 2025.

C. Nour, J. Takche
The Variable Radius Form of the Extended Exterior Sphere Condition
631--652 [Abstract / Full Text]

J.-P. Penot
Hamilton-Jacobi Theory in the Calculus of Variations Under Partial Convexity Assumptions on the Lagrangian
653--660 [Abstract / Full Text]

P. Pérez-Aros, L. Thibault, D. Zagrodny
Convergence of Slopes in Asplund Spaces
661--680 [Abstract / Full Text]

Q. H. Pham, B. Brogliato, F. A. Miranda-Villatoro
Well-Posedness of Passive Time-Varying Linear Cone Complementarity Systems
681--722 [Abstract / Full Text]

H. Proppe, A. Stancu, R. J. Stern
Approximation Approach to Holditch's Theorem
723--730 [Abstract / Full Text]

V. Recupero
Prox-Regular Sweeping Processes with Bounded Retraction
731--756 [Abstract / Full Text]

S. Reich, A. J. Zaslavski
Existence of a Fixed Point for Boyd-Wong Type Contractions on Metric Spaces with Graphs
757--766 [Abstract / Full Text]

N. K. Ribarska, M. Tasheva
Transversality and Strong Tangential Transversality of a Finite Number of Sets
767--788 [Abstract / Full Text]

B. Ricceri
On the Infimum of the Upper Envelope of Certain Families of Functions
789--800 [Abstract / Full Text]

V. Ríos, P. Wolenski
The Minimal Time Problem of a Sweeping Process with a Discontinuous Perturbation
801--824 [Abstract / Full Text]

R. Schneider
The Copolarity of Pseudo-Cones
825--834 [Abstract / Full Text]

A. Seeger, M. Torki
The Gauss Map of a Nonsmooth Convex Cone and the Antipodal Mate Property
835--850 [Abstract / Full Text]

A. Tolstonogov
BV Solutions of a State-Dependent Prox-Regular Sweeping Process with Nonconvex Perturbations
851--876 [Abstract / Full Text]

G. Wachsmuth
A Convex, Finite and Lower Semicontinuous Function with Empty Subdifferential
877--882 [Abstract / Full Text]

Z. Wei, M. Théra, J.-C. Yao
Perturbation Analysis of Error Bounds for Convex Functions on Banach Spaces
883--900 [Abstract / Full Text]

S. Weis
A Note on Faces of Convex Sets
901--919 [Abstract / Full Text]

L. Zajícek
A Remark on the Nullness of Boundaries of Uniformly Prox-Regular Sets in Banach Spaces
921--926 [Abstract / Full Text]

A. J. Zaslavski
Approximate Fixed Points for a Set-Valued Quasi-Contraction
927--936 [Abstract / Full Text]

X. Y. Zheng, Y. Sun, W. Tang
Metric Subregularity for a Piecewise Linear Mapping between two Banach Spaces
937--950 [Abstract / Full Text]

T. Zolezzi
A Condition Number Theorem for Variational Inequalities under Operator Perturbations
951--960 [Abstract / Full Text]

Number 4

  [No. 1] [No. 2] [No. 3] [No. 4]

The following articles are so far only available in electronic form.
The printed versions will be published in December 2025.

A. Boulkhemair, A. Chakib, A. Sadik
On Some Uniform Estimates of Gauge Functions with Respect to Domains
961--974 [Abstract / Full Text]

U. U. Jamilov, R. T. Mukhitdinov
Dynamics of a Convex Combination and Superposition of Non-Volterra Quadratic Stochastic Operators
975--988 [Abstract / Full Text]

J. Li, G. Mastroeni
Convex Analysis in Groups and Semigroups and Applications to Separation and Optimization
989--1022 [Abstract / Full Text]

K. Nakajo
On Strong Convergence for the Split Common Null Point Problem in Two Banach Spaces
1023--1044 [Abstract / Full Text]

E. N. Mahmudov, D. I. Mastaliyeva
Optimization of Elliptic Type Differential Inclusions with Mixed Boundary Conditions
1045--1064 [Abstract / Full Text]

A. J. Zaslavski
Convergence of the String-Averaging Algorithm for Common Fixed Point Problems with a Countable Family of Operators
1065--1082 [Abstract / Full Text]

P. Leonetti
Rough Families, Cluster Points, and Cores
1083--1090 [Abstract / Full Text]

P. Mondal, L. K. Dey, S. J. Ali
I-Convergence of Sequences of p-Bochner, p-Dunford and p-Pettis Integrable Functions with Values in a Banach Space
1091--1116 [Abstract / Full Text]

G. P. Corrêa, G. C. G. dos Santos
Schrödinger-Poisson System Involving Potential Vanishing at Infinity and Unbounded Below
1117--1134 [Abstract / Full Text]

E. Jablonska
On Set-Valued Derivations Modulo K
1135--1144 [Abstract / Full Text]

B. D. Moldovan, C. Pintea
Conditions for the Preservation of Motzkin Decomposability and the Pareto Bordered Property Under Addition
1145--1157 [Abstract / Full Text]

R. D. Ayissi, G. Deugoué, J. N. Zangue, T. T. Medjo
Existence of Optimal and ε-Optimal Controls for the Stochastic Cahn-Hilliard Navier-Stokes System
1159--1198 [Abstract / Full Text]

M. M. Alves
Projective Splitting with Backward, Half-Forward and Proximal-Newton Steps
1199--1226 [Abstract / Full Text]

B. González Merino
On Diversities and Finite Dimensional Banach Spaces
1227--1240 [Abstract / Full Text]

S. Apostolov, M. Bivas
Characterizations of Metric (Sub)Regularity via (Sub)Transversality
1241--1254 [Abstract / Full Text]

M. V. Dolgopolik
Hypodifferentials of Nonsmooth Convex Functions and their Applications to Nonsmooth Convex Optimization
1255--1298 [Abstract / Full Text]