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Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces

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  • Chakkrid Klin-eam
  • Cholatis Suanoom

Abstract

Fixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:604215
    DOI: 10.1155/2013/604215
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    Cited by:

    1. Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Application of Fixed Point Result in Complex Valued Extended b -Metric Space," Mathematics, MDPI, vol. 11(24), pages 1-20, December.
    2. Afrah Ahmad Noman Abdou, 2023. "Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    3. 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.
    4. Amer Hassan Albargi & Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application," Mathematics, MDPI, vol. 11(5), pages 1-20, March.

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