STABILITY OF THE PERTURBED ISHIKAWA APPROXIMATION ALGORITHM FOR GNOVI IN ORDERED BANACH SPACE

Abstract

A new class of generalized nonlinear ordered variational inequalities and equa- tions are studied, and by using the B-restricted-accretive method of mapping (A−ρf −w) with constants α_1, α_2, an existence theorem and a perturbed algorithm for solving this kind generalized nonlinear ordered variational inequality(equation) is established and further, the stability and the convergence of iterative sequences generated by the algorithm is discussed in ordered Banach space, respectively. The results in the instrument are obtained in this field.