On solution sensitivity of generalized relaxed cocoercive implicit quasivariational inclusions with A-monotone mappings

In this paper, we introduce and study a new class of parametric generalized relaxed cocoercive implicit quasivariational inclusions with A-monotone mappings. By using the parametric implicit resolvent operator technique for A-monotone, we analyze solution sensitivity for this kind of generalized relaxed cocoercive inclusions in Hilbert spaces. Our results generalize sensitivity analysis results on strongly monotone quasivariational inclusions and nonlinear implicit quasi-variational inclusions. Furthermore, relaxed cocoercivity is illustrated by some examples.