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Maximal classes for lower and upper semicontinuous strong Świątkowski functions

Szczuka P.

Demonstratio Mathematica

2014

Vol. 47, nr 1

48--55

In this paper, we characterize the maximal additive and multiplicative classes for lower and upper semicontinuous strong Świątkowski functions and lower and upper semicontinuous extra strong Świątkowski functions. Moreover, we characterize the maximal class with respect to maximums for lower semicontinuous strong Świątkowski functions and lower and upper semicontinuous extra strong Świątkowski functions.

Stability of solutions for a class of convex minimization problems on reflective Banach spaces

Zaslavski A. J.

Journal of Mathematics and Applications

2008

Vol. 30

151-160

In this paper we study stability of solutions of minimization problems �(x) → min, x ∈ C, where � is a convex lower semicontinuous function and a set C is the countable intersection of a decreasing sequence of closed sets Ci in a reflexive Banach space X.