Examples of cyclical operators

Horvat-Marc, Andrei; PETRIC, MIHAELA

doi:10.37193/cjm.2016.03.09

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Cited by 7 publications

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“…Some examples of cyclic representations are given in [20]. Other interesting examples of cyclic operators are to be found in the paper [5].…”

Section: Theorem 21 ([9]mentioning

confidence: 99%

Synchronous r-cyclic contractions on metric spaces

Mădălina

2023

FPT-RO

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Motivated by the existence of cyclic phenomena in which some characteristics are mapped into corresponding ones over more than one phase, we introduce the r-cyclic operators with respect to a covering of a metric space and investigate their behavior. We study the convergence of the Picard iteration to a fixed point of such an operator under a Banach type generalized contraction condition. The obtained results may have interesting practical applications in various research areas.

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“…Some examples of cyclic representations are given in [20]. Other interesting examples of cyclic operators are to be found in the paper [5].…”

Section: Theorem 21 ([9]mentioning

confidence: 99%