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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]

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.

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.

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]

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]