activity
20092024
most citedLagrangian duality for nonconvex optimization problems with abstract convex functions

1 citations · 1 across the 17 of their papers we have counts for

collaborators

23 papers

math.OC2024

Mangasarian-Fromovitz-type constraint qualification and optimality conditions for smooth infinite programming problems

Ewa M. Bednarczuk, Krzysztof W. Leśniewski, Krzysztof E. Rutkowski

We introduce a constraint qualification condition (GPMFCQ) for smooth infinite programming problems, where the nonlinear operator defining the equality constraints has nonsurjectiv…

math.OC2023

Approximate solutions to the multiple-choice knapsack problem by multiobjectivization and Chebyshev scalarization

E. M. Bednarczuk, I. Kaliszewski, J. Miroforidis

The method BISSA, proposed by Bednarczuk, Miroforidis, and Pyzel, provides approximate solutions to the multiple-choice knapsack problem. To fathom the optimality gap that is left…

math.OC2023

On global solvability of a class of possibly nonconvex QCQP problems in Hilbert spaces

Ewa M. Bednarczuk, Giovanni Bruccola

We provide conditions ensuring that the KKT-type conditions characterizes the global optimality for quadratically constrained (possibly nonconvex) quadratic programming QCQP proble…

math.OC2022

Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions

Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1

We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convex…

math.OC2022

Duality for Composite Optimization Problem within the Framework of Abstract Convexity

The Hung Tran, Ewa Bednarczuk

We study conjugate and Lagrange dualities for composite optimization problems within the framework of abstract convexity. We provide conditions for zero duality gap in conjugate du…

math.OC2022

Finding global solutions for a class of possibly nonconvex QCQP problems through the S-lemma

Ewa M. Bednarczuk, Giovanni Bruccola

In this paper we provide necessary and sufficient (KKT) conditions for global optimality for a new class of possibly nonconvex quadratically constrained quadratic programming (QCQP…