ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 2 (2007)
p. 149 - 160
Some Results for One Class of Discontinuous Operators with Fixed Points
R. Morales and E. Rojas
Abstract.
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).
Keywords:
Banach space, fixed point, discontinuous operator.
AMS Subject classification. Primary: 47H10, 54C99;
Secondary: 47B48, 54E99.
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Acta Mathematica Universitatis Comenianae
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