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Common fixed points for four maps in ordered partial metric spaces

Aydi H

Fasciculi Mathematici

2012

Nr 49

15--31

In this paper, we present some common fixed point theorems for four maps in partially ordered partial metric spacess. Our results generalize the main theorems of Abbas, Nazir and Radenovic [1].

Order algebras

Chajda I., Halaš R.

Demonstratio Mathematica

2002

Vol. 35, nr 1

1-10

To every ordered set with a greatest element is assigned an order algebra, a Hilbert algebra occuring in intuicionistic logic. We prove some basic properties of order algebras and characterize their ideals and congruences. We introduce a concept of (relative) annihilator and show that it is a (relative) pseudocomplement in the lattice of all ideals.