Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings

Authors:
Xie Ping Ding
Affiliations:
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

A new class of parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings is introduced. By applying resolvent operator technique of h-maximal monotone mapping and the property of fixed point set of set-valued contractive mappings, the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings are studied. The continuity and Lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions. Our approach and results are new and improve, unify and extend previous many known results in this field.