5 papers
Towards nonlinearity. The p-regularity theory. Applications and developments
E. Bednarczuk, O. Brezhneva, K. Leśniewski +2
We present recent advances in the analysis of nonlinear equations with singular operators and nonlinear optimization problems with constraints given by singular mappings. The resul…
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…
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…
On Directional Derivatives for cone-convex funtions
Krzysztof Leśniewski
We investigate the relationship between the existence of directional derivatives for cone-convex functions with values in a Banach space Y and isomorphisms between Y and c0.
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…