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Demonstratio Mathematica
2015 Vol. 48, nr 3 348--356
EN A general construction of the free algebra over a poset in varieties finitely generated is given in [8]. In this paper, we apply this to the varieties of Łukasiewicz–Moisil algebras, giving a detailed description of the free algebra over a finite poset (X, ≤), Free n ((X, ≤)). As a consequence of th[...]
Journal of Mathematics and Applications
2011 Vol. 34 5-13
EN Motivated by Pettis' extensions of Sierpinski theorems on generated families of sets, we consider B-rings, a generalization of the notion of Boolean algebras, and present their various properties. In particular, we discuss properties of differences which will be used in the proofs of results given i[...]
Demonstratio Mathematica
2017 Vol. 50, nr 1 360--374
EN In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ ,θ, φ)-weak contraction condition without O-compatibility. The obtained results extend, improve and generalize some well-known results in the literature to be[...]
Demonstratio Mathematica
2013 Vol. 46, nr 2 327--334
EN In this paper, we have introduced a generalised Kannan type contraction. It has been established that such mappings necessarily have fixed points in a complete partially ordered metric space. The fixed point is unique under some additional conditions. The result is illustrated with an example. The w[...]
Prace Instytutu Podstaw Informatyki Polskiej Akademii Nauk
2015 Nr 1033 1--15
PL Praca opisuje struktury, których można użyć do reprezentowania szeroko rozumianych działalności. Uogólnia struktury zdarzeń tak, by mogły reprezentować działalności dyskretne, ciągłe i mieszanej natury. Konfiguracje tak uogólnionych struktur zdarzeń zostały użyte do aksjomatycznej definicji dziedzin[...]
EN The paper describes structures which can be used to represent activities of broad class. The concept of event structure is generalized to represent activities which may be discrete, continuous, or of mixed nature. Configuration structures of the more general event structures are used to deńe axiomat[...]
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