12 papers
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…
Outer Approximation Scheme for Weakly Convex Constrained Optimization Problems
Ewa M. Bednarczuk, Giovanni Bruccola, Jean-Christophe Pesquet +1
Outer approximation methods have long been employed to tackle a variety of optimization problems, including linear programming, in the 1960s, and continue to be effective for solvi…
Numerical methods for solving the linearized model of a hinged-free reduced plate arising in flow structure interactions
Raj Narayan Dhara, Krzysztof E. Rutkowski, Katarzyna Szulc
The problem of partially hinged and partially free rectangular plate that aims to represent a suspension bridge subject to some external forces (for example the wind) is considered…
The use of Octree in point cloud analysis with application to cultural heritage
Rafał Bieńkowski, Krzysztof E. Rutkowski
In this article we present the effects of our work on the subject of the technical approach to the 3D point cloud data analysis through the use of the Octree method to compress, an…
Abadie condition for infinite programming problems under Relaxed Constant Rank Constraint Qualification Plus
Ewa M. Bednarczuk, Krzysztof W. Leśniewski, Krzysztof E. Rutkowski
We consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions de…
Dynamical system related to primal-dual splitting projection methods
Ewa M. Bednarczuk, Raj Narayan Dhara, Krzysztof E. Rutkowski
We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of soluti…