Cover Image

On Fenchel c-conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fajardo, M. D., Vidal-Nunez, J.
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control 52A20, 26B25, 90C25, 49N15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lagrange duality on DC evenly convex optimization problems via a generalized conjugation scheme
by: Fajardo, M. D., et al.
Published: (2024)

A new insight into Lagrange duality on DC optimization
by: Fajardo, M. D., et al.
Published: (2025)

On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions
by: Fajardo, M. D., et al.
Published: (2025)

Set-valued evenly convex functions: characterizations and c-conjugacy
by: Fajardo, M. D.
Published: (2025)

Approximate optimality conditions and sensitivity analysis in nearly convex optimization
by: Van Tuyen, Nguyen, et al.
Published: (2024)

Douglas-Rachford splitting and ADMM for nonconvex optimization: Accelerated and Newton-type linesearch algorithms
by: Themelis, Andreas, et al.
Published: (2020)

Projected subgradient methods for paraconvex optimization: Application to robust low-rank matrix recovery
by: Rahimi, Morteza, et al.
Published: (2024)

Block-coordinate and incremental aggregated proximal gradient methods for nonsmooth nonconvex problems
by: Latafat, Puya, et al.
Published: (2019)

A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima
by: Ahookhosh, Masoud, et al.
Published: (2019)

ItsDEAL: Inexact two-level smoothing descent algorithms for weakly convex optimization
by: Kabgani, Alireza, et al.
Published: (2025)

Geometric characterizations of Lipschitz stability for convex optimization problems
by: Nghia, Tran T. A.
Published: (2024)

MGProx: A nonsmooth multigrid proximal gradient method with adaptive restriction for strongly convex optimization
by: Ang, Andersen, et al.
Published: (2023)

Optimality conditions via exact penalty functions
by: Ivanov, Vsevolod Ivanov
Published: (2026)

On the equivalence of $c$-potentiability and $c$-path boundedness in the sense of Artstein-Avidan, Sadovsky, and Wyczesany
by: Bartz, Sedi, et al.
Published: (2025)

On Characterizations of $σ$-Quasiconvexity
by: Bao, Nguyen Xuan Duy, et al.
Published: (2025)

Bregman Finito/MISO for nonconvex regularized finite sum minimization without Lipschitz gradient continuity
by: Latafat, Puya, et al.
Published: (2021)

(Adaptive) Scaled gradient methods beyond locally Holder smoothness: Lyapunov analysis, convergence rate and complexity
by: Ghaderi, Susan, et al.
Published: (2025)

Lipschitz stability of least-squares problems regularized by functions with $\mathcal{C}^2$-cone reducible conjugates
by: Cui, Ying, et al.
Published: (2024)

Optimal Methods for Unknown Piecewise Smooth Problems I: Convex Optimization
by: Lin, Zhenwei, et al.
Published: (2026)

Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions
by: Ivanov, Vsevolod I.
Published: (2025)

Enhanced computation of the proximity operator for perspective functions
by: Briceño-Arias, Luis M., et al.
Published: (2023)

Projection onto cones generated by epigraphs of perspective functions
by: Briceño-Arias, Luis M., et al.
Published: (2024)

Qualitative and Generalized Differentiation Properties of Optimal Value Functions with Applications to Duality
by: Long, V. S. T., et al.
Published: (2025)

ItsOPT: An inexact two-level smoothing framework for nonconvex optimization via high-order Moreau envelope
by: Kabgani, Alireza, et al.
Published: (2024)

On Zermelo's planar navigation problem for convex bodies, and implications for non-convex optimal routing
by: Della Rossa, Matteo, et al.
Published: (2025)

A Symplectic Discretization Based Proximal Point Algorithm for Convex Minimization
by: Yuan, Ya-xiang, et al.
Published: (2024)

Optimal regulation in a periodic environment: insights from a simple model
by: Gavish, Nir, et al.
Published: (2025)

Affine Gateaux Differentials and the von Mises Statistical Calculus
by: Cerreia-Vioglio, Simone, et al.
Published: (2024)

Minimization Over the Nonconvex Sparsity Constraint Using A Hybrid First-order method
by: Yang, Xiangyu, et al.
Published: (2021)

Optimality conditions in terms of Bouligand generalized differentials for a nonsmooth semilinear elliptic optimal control problem with distributed and boundary control pointwise constraints
by: Nhu, Vu Huu, et al.
Published: (2023)

Structure Preserving Approximation of Semiconcave Functions
by: Kunisch, Karl, et al.
Published: (2026)

Bridging Batch and Streaming Estimations to System Identification under Adversarial Attacks
by: Kim, Jihun, et al.
Published: (2025)

Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
by: Bauschke, Heinz H., et al.
Published: (2024)

Properties of the complementarity set for the cone of copositive matrices
by: Kostyukova, O. I.
Published: (2024)

A Level Set Method with Secant Iterations for the Least-Squares Constrained Nuclear Norm Minimization
by: Ma, Chiyu, et al.
Published: (2026)

On the longest chain of faces of the completely positive and copositive cones
by: Nishijima, Mitsuhiro
Published: (2023)

Nesterov acceleration for strongly convex-strongly concave bilinear saddle point problems: discrete and continuous-time approaches
by: He, Xin, et al.
Published: (2025)

Sparsity of Quadratically Regularized Optimal Transport: Scalar Case
by: González-Sanz, Alberto, et al.
Published: (2024)

Semi-analytical Approach to Trajectory Optimization for Stacker Cranes Regarding Energy Saving
by: Zöllner, R., et al.
Published: (2025)

Error Bounds for a Class of Cone-Convex Inclusion Problems
by: Huy, Nguyen Quang, et al.
Published: (2025)