IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i2p22-d131101.html
   My bibliography  Save this article

Nonlinear Stability of ρ -Functional Equations in Latticetic Random Banach Lattice Spaces

Author

Listed:
  • Mohammad Maleki V.

    (Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15875-4413, Iran
    Current address: Department of Mechanical Engineering, Amirkabir University of Technology, 424 Hafez Ave, Tehran 15875-4413, Iran.)

  • S. Mansour Vaezpour

    (Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15875-4413, Iran)

  • Reza Saadati

    (Department of Mathematics, Iran University of Science and Technology, Tehran 15875-4413, Iran)

Abstract

In this paper, we prove the generalized nonlinear stability of the first and second of the following ρ -functional equations, G ( | a | Δ A * | b | ) Δ B * G ( | a | Δ A * * | b | ) − G ( | a | ) Δ B * * G ( | b | ) = ρ ( 2 G | a | Δ A * | b | 2 Δ B * G | a | Δ A * * | b | 2 − G ( | a | ) Δ B * * G ( | b | ) ) , and 2 G | a | Δ A * | b | 2 Δ B * G | a | Δ A * * | b | 2 − G ( | a | ) Δ B * * G ( | b | ) = ρ G ( | a | Δ A * | b | ) Δ B * G ( | a | Δ A * * | b | ) − G ( | a | ) Δ B * * G ( | b | ) in latticetic random Banach lattice spaces, where ρ is a fixed real or complex number with ρ ≠ 1 .

Suggested Citation

  • Mohammad Maleki V. & S. Mansour Vaezpour & Reza Saadati, 2018. "Nonlinear Stability of ρ -Functional Equations in Latticetic Random Banach Lattice Spaces," Mathematics, MDPI, vol. 6(2), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:2:p:22-:d:131101
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/2/22/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/2/22/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yeol Je Cho & Themistocles M. Rassias & Reza Saadati, 2013. "Stability of Functional Equations in Random Normed Spaces," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-8477-6, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:6:y:2018:i:2:p:22-:d:131101. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.