4 papers
math.OC2017
A multi-criteria approach to approximate solution of multiple-choice knapsack problem
Ewa M. Bednarczuk, Janusz Miroforidis, Przemysław Pyzel
We propose a method for finding approximate solutions to multiple-choice knapsack problems. To this aim we transform the multiple-choice knapsack problem into a bi-objective optimi…
math.OC2017
On the existence of directional derivatives for strongly cone-paraconvex mappings
Ewa Bednarczuk, Krzysztof Leśniewski
In the present paper we investigate the existence of directional derivatives for strongly cone-paraconvex mappings. Our result is a counterpart of the theorem of Valadier concernin…
math.OC2016
On weakly sequentially complete Banach spaces
E. M. Bednarczuk, K. Leśniewski
We provide sufficient conditions for a Banach space Y to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for co…
math.OC2009
Vector variational principle
Ewa M. Bednarczuk, Dariusz Zagrodny
A vector variational principle is proved.