Convergence Analysis for System of Cayley Generalized Variational Inclusion on q-Uniformly Banach Space
Mohd Falahat Khan, Syed Shakaib Irfan, Iqbal Ahmad · Axioms · 2025
This paper is devoted to the analysis of a system of generalized variational inclusion problems involving α-averaged and Cayley operators within the framework of a q-uniformly smooth Banach space. We demonstrate that the problem can be reformulated as an equivalent fixed-point equation and propose an iterative method based on the fixed-point approach to obtain the solution. Furthermore, we establish the existence of solutions and analyze the convergence properties of the proposed algorithm under suitable conditions. To validate the effectiveness of the proposed iterative method, we provide a numerical result supported by a computational graph and a convergence plot, illustrating its performance and efficiency.