SENSITIVITY ANALYSIS FOR A NEW SYSTEM OF VARIATIONAL INEQUALITIES

In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of generalized parametric multi-valued variational inclusions with (A,·)-accretive mappings in q-uniformly smoo- th Banach spaces. The present results improve and extend many known results in the literature. techniques. By using the projection method, Dafermos (2), Yen (12), Mukherjee and Verma (7), Noor (9) and Pan (10) studied the sensitivity analysis of solutions of some variational inequalities with single-valued mappings in finite-dimensional spaces or Hilbert spaces. By using the resolvent operator technique, Agarwal et al. (1), Jeong (3) stud- ied a new system of parametric generalized nonlinear mixed quasi-variational inclusions in a Hilbert space and in Lp(p ‚ 2) spaces, respectively. In 2008, using the concept and technique of resolvent operators, Lan (4) introduced and studied the behavior and sensitivity analysis of the solution set for a system of generalized parametric (A,·)-accretive variational inclusions in Banach spaces. Motivated and inspired by the research work going on this field, in this paper, we study the behavior and sensitivity analysis of the solution set for a new system of generalized parametric multi-valued variational inclusions with (A,·)-accretive mappings in q-uniformly smooth Banach spaces. The present results improve and extend many known results in the literature.