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Relatively complemented ordered sets

Ivan ChajdaZuzana Morávková — 2000

Discussiones Mathematicae - General Algebra and Applications

We investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with 0 we show that each element b ≠ 0 is the least one of the set of all upper bounds of all atoms contained in b.

Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities

Charalambos C. BaniotopoulosJaroslav HaslingerZuzana Morávková — 2005

Applications of Mathematics

The paper deals with approximations and the numerical realization of a class of hemivariational inequalities used for modeling of delamination and nonmonotone friction problems. Assumptions guaranteeing convergence of discrete models are verified and numerical results of several model examples computed by a nonsmooth variant of Newton method are presented.

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