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

Arifuzzaman, Syed Shakaib Irfan and Iqbal Ahmad

Journal of Mathematics, 2026, vol. 2026, 1-14

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5047496

DOI: 10.1155/jom/5047496

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