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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