Stability and convergence analysis for a new class of GNOYIP involving XOR operation in ordered positive Hilbert spaces

Abstract

In the setting of real ordered positive Hilbert spaces, a new class of general nonlinear ordered Yosida inclusion problem involving $\oplus$ operation has been recommended and solved by employing a perturbed proposed two step-iterative algorithm. The stability and convergence analysis of solution of new class of Yosida inclusion problem involving $\oplus$ operation has been substantrated by applying a new resolvent operator and Yosida approximation operator method with XOR operation technique. The iterative algorithm and results demonstrated in this article have witnessed, a significant improvement for many previously known results of this domain. Further, we give a numerical example to illustrate and show the convergence of the proposed algorithm in support of our main result has been formulated by using MATLAB programming.