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By using ordered fixed point theory, we set up a new class of GNOVI structures (general nonlinear ordered variational inclusions) with ( γ G , λ ) -weak-GRD mappings, discuss an existence theorem of solution, consider a perturbed Ishikawa iterative algorithm and the convergence of iterative sequences generated by the algorithm, and show the stability of algorithm for GNOVI structures in positive Hilbert spaces. The results in the instrument are obtained.

Stability for a New Class of GNOVI with ( γ G , λ )-Weak-GRD Mappings in Positive Hilbert Spaces