Abstract
In the setting of real ordered positive Hilbert spaces, a new class of general nonlinear ordered Yosida inclusion problem involving circle plus operation has been considered and solved by employing a perturbed two step-iterative algorithm. The stability and convergence analysis of solution of new class of Yosida inclusion problem involving circle plus operation has been substantiated 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 in support of our main result by using MATLAB programming.