4 papers · 1 filter
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…
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…