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In this paper, by using a resolvent operator technique of ( H , η )-monotone mappings and the property of a fixed-point set of set-valued contractive mappings, we study the behavior and sensitivity of the solutions of the parametric completely generalized strongly nonlinear mixed implicit quasi-variational inclusions in Hilbert space. Our results extend and improve some recent results in this field. Mathematics subject classification (2000): 49J40, 47H10.

mathematical inequalities and applications

Sensitivity analysis for parametric completely generalized strongly nonlinear mixed implicit quasi-variational inclusions involving (H,η)-monotone mappings