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Maia type fixed point theorems for multi-valued Feng-Liu operators

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Abstract

In this work we will present some fixed point results for Feng-Liu multi-valued operatrs on a set endowed with two metrics. Some stability properties of the fixed point problem, such as data dependence of the fixed point set, the well-posedness and Ulam-Hyers stability of the fixed point inclusion, are also established. An application to an integral inclusion of Fredholm type is presented.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania

    Adrian Petruşel

  2. Academy of Romanian Scientists Bucharest, Bucharest, Romania

    Adrian Petruşel

  3. Faculty of Business, Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania

    Gabriela Petruşel

  4. Faculty of Economics and Business Administration, Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania

    Leonard Horvath

Authors
  1. Adrian Petruşel
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  2. Gabriela Petruşel
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  3. Leonard Horvath
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Contributions

Conceptualization, AP, GP; methodology, AP, GP; investigation, AP, GP; documentation, LH; resources, AP, GP and LH; writing-first draft, LH; writing—review and editing, AP, GP and LH. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Adrian Petruşel.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by S Ponnusamy.

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Petruşel, A., Petruşel, G. & Horvath, L. Maia type fixed point theorems for multi-valued Feng-Liu operators. J Anal 32, 73–83 (2024). https://doi.org/10.1007/s41478-023-00609-z

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  • DOI: https://doi.org/10.1007/s41478-023-00609-z

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