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On fixed points of a linear operator of polynomial form of order 3
Journal article   Open access  Peer reviewed

On fixed points of a linear operator of polynomial form of order 3

Janusz Brzdek, El-sayed El-hady and Zbigniew Lesniak
Journal of fixed point theory and applications, Vol.20(2), pp.1-10
01/06/2018
DOI: https://doi.org/10.1007/s11784-018-0568-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let X be a complex linear space, endowed with an extended (that is, admitting infinite values) norm. We prove a fixed point theorem for operators of the form , where is linear and are fixed scalars. That result has been motivated by some issues arising in Ulam stability. One of the tools is the Diaz-Margolis fixed point alternative.
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https://doi.org/10.1007/s11784-018-0568-8View
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