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Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces

Author

Listed:
  • Amnah Essa Shammaky

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

  • Jamshaid Ahmad

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 21959, Saudi Arabia)

Abstract

The aim of the present research article is to solve the system of linear equations using common fixed point theorems in the context of bicomplex valued metric spaces. To obtain our main objective, we introduce generalized contractive conditions in bicomplex valued metric spaces and establish common fixed point theorems for self mappings. We also give a significant example to demonstrate the legitimacy of the given theorems.

Suggested Citation

  • Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4333-:d:1262228
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    References listed on IDEAS

    as
    1. Humaira & Muhammad Sarwar & G. N. V. Kishore, 2018. "Fuzzy Fixed Point Results For Contractive Mapping with Applications," Complexity, Hindawi, vol. 2018, pages 1-12, January.
    2. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Nawab Hussain, 2014. "On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, May.
    3. Jamshaid Ahmad & Chakkrid Klin-Eam & Akbar Azam, 2013. "Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    4. Chakkrid Klin-eam & Cholatis Suanoom, 2013. "Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, April.
    Full references (including those not matched with items on IDEAS)

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