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Optim."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>Using the error bound results established in the present paper for approximate solutions, we study the stability issues when perturbed by possibly nonaffine smooth maps $E$ for the abstract inequality system $F\\ge _K0$ defined by a (possible nonclosed) convex cone $K$ and a Fr\u00e9chet differentiable function $F$ satisfying the (extended) weak $\\gamma$-condition. We provide some sufficient conditions, in terms of the information at a solution $x_0$, for ensuring the lower semicontinuity and\/or the Lipschitz-like continuity at $x_0$ of the solution mapping for the perturbed system $F+E\\ge _K0$ with smooth perturbation $E$. 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