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Chatterjea and C ` iri C ` -Type Fixed-Point Theorems Using ( α − ψ ) Contraction on C * -Algebra-Valued Metric Space

Author

Listed:
  • Ibtisam Masmali

    (Department of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi Arabia)

  • Saleh Omran

    (Department of Mathematics, South Valley University, Qena 83523, Egypt)

Abstract

In the present paper, we provide and verify several results obtained by using the Chatterjea and C ` iri c ` fixed-point theorems by using ( α − ψ ) -contractive mapping in C * -algebra-valued metric space. We provide some examples and an application to illustrate our results. Our study extends and generalizes the results of several studies in the literature.

Suggested Citation

  • Ibtisam Masmali & Saleh Omran, 2022. "Chatterjea and C ` iri C ` -Type Fixed-Point Theorems Using ( α − ψ ) Contraction on C * -Algebra-Valued Metric Space," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1615-:d:811829
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    References listed on IDEAS

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    1. Vahid Parvaneh & Samira Hadi Bonab & Hasan Hosseinzadeh & Hassen Aydi, 2021. "A Tripled Fixed Point Theorem in - Algebra-Valued Metric Spaces and Application in Integral Equations," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-6, April.
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