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The Solution of Nonlinear Matrix Equations Using Suzuki Multivalued Fixed Point Theorems in Rectangular M‐Metric Spaces

Author

Listed:
  • Mustafa Mudhesh
  • Muhammad Arshad
  • Aftab Hussain
  • Hamed Alsulami

Abstract

This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational (ψ, ϕ)‐type multivalued contractions in complete rectangular M‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions. Furthermore, we derive important results concerning contractions defined on closed balls within RM‐MS. To demonstrate the originality and applicability of our findings, we present illustrative examples that validate the effectiveness of the proposed theorems. Finally, we investigate the solvability of a system of nonlinear matrix equations (NMEs) in the framework of our study. This application highlights the practical relevance of the theoretical developments and their potential for solving real‐world problems.

Suggested Citation

  • Mustafa Mudhesh & Muhammad Arshad & Aftab Hussain & Hamed Alsulami, 2025. "The Solution of Nonlinear Matrix Equations Using Suzuki Multivalued Fixed Point Theorems in Rectangular M‐Metric Spaces," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:7590804
    DOI: 10.1155/ijmm/7590804
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    References listed on IDEAS

    as
    1. Eskandar Ameer & Muhammad Arshad & Dong Yun Shin & Sungsik Yun, 2019. "Common Fixed Point Theorems of Generalized Multivalued ( ψ , ϕ )-Contractions in Complete Metric Spaces with Application," Mathematics, MDPI, vol. 7(2), pages 1-15, February.
    2. Mustafa Mudhesh & Hasanen A. Hammad & Habes Alsamir & Muhammad Arshad & Eskandar Ameer & Naeem Saleem, 2021. "Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, February.
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