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New classes of Picard operators

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Abstract

An operator T on metric space (X, d) is called a Picard operator if T has a unique fixed point u in X and for any \(x\in X\), the sequence \(\{T^nx\}_{n\in \mathbb {N}}\) converge to u. In this paper, we give new results concerning the existence of Picard operators.

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Authors and Affiliations

  1. Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei no. 2, 300006, Timişoara, Romania

    Paşc Găvruţa & Laura Manolescu

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  1. Paşc Găvruţa
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  2. Laura Manolescu
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Correspondence to Laura Manolescu.

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Găvruţa, P., Manolescu, L. New classes of Picard operators. J. Fixed Point Theory Appl. 24, 56 (2022). https://doi.org/10.1007/s11784-022-00973-6

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