Some Results for One Class of Discontinuous Operators with Fixed Points
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2
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In 1986, L. Nova ([11]) defined a class of operators with fixed points called D ( a, b ) which includes many classic operators with fixed points. In this paper we give a compilation about existing results in this class. In addition we will prove some results for sequences of operators of class D ( a, b ), and we will give conditions for this operator class to be closed under sum and composition (or product).