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Numerical and Analytical Study of Mixed Generalized Cayley Variational Inclusions via Parallel S-Iterations

Author

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  • Arifuzzaman
  • Syed Shakaib Irfan
  • Iqbal Ahmad

Abstract

This article investigates the structure and analytical properties of a system of mixed generalized Cayley variational inclusion problems (CVIPs) involving logical operations in the context of positive real-ordered Hilbert spaces. To achieve the optimal solution, a parallel Mann iteration process is introduced. Furthermore, an alteration point problem is formulated, which is proven to be equivalent to the proposed system. Subsequently, a general parallel S-iteration process is developed. The convergence criteria for the proposed algorithms are rigorously established, and a numerical result is constructed in MATLAB R2024b to validate the effectiveness and applicability of the proposed theoretical results.

Suggested Citation

  • Arifuzzaman & Syed Shakaib Irfan & Iqbal Ahmad, 2026. "Numerical and Analytical Study of Mixed Generalized Cayley Variational Inclusions via Parallel S-Iterations," Journal of Mathematics, Hindawi, vol. 2026, pages 1-14, March.
    • Handle: RePEc:hin:jjmath:5047496
    DOI: 10.1155/jom/5047496
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