Yosida approximation-based convergence of generalized variational inclusions in ordered Hilbert spaces

This paper investigates a generalized variational inclusion problem involving the Yosida approximation operator in conjunction with XOR and XNOR operations within a real ordered Hilbert space. Taking into account the Yosida variational inclusion problem, the study emphasizes its rapid convergence of the proposed algorithm. Using essential properties of the Yosida operator and the logical operations XOR and XNOR, we establish the existence and convergence results for the solutions. A numerical result is presented to demonstrate the effectiveness of the proposed approach.