Some Results for One Class of Discontinuous Operators with Fixed Points
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2
R. Morales; E. Rojas. Some Results for One Class of Discontinuous Operators with Fixed Points. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a2/
@article{AMUC_2007_76_2_a2,
     author = {R. Morales and E. Rojas},
     title = {Some {Results} for {One} {Class} of {Discontinuous} {Operators} with {Fixed} {Points}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

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).