Examples of cyclical operators


Horvat-Marc, Andrei and Petric, Mihaela


Abstract

carpathian_2016_32_3_331_338_abstract

In this paper, we give examples of cyclic operators defined on various types of sets, in order to illustrate some results in the extremely rich literature following the seminal paper [Kirk, W. A., Srinivasan, P. S. and Veeramani, P., Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), No. 1, 79 — 89]. All examples which are presented enrich the list of cyclic operators and give a subject to future studies of this type of operators.

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Author(s)

Horvat-Marc, Andrei, Mihaela, Petric