Nonlinear parametric multi-valued variational inclusion systems involving image-accretive mappings in Banach spaces Original Research Article

In this paper, by using the new parametric resolvent operator technique associated with (A,η)(A,η)-accretive mappings, we analyze and establish an existence theorem for new nonlinear parametric multi-valued variational inclusion systems involving (A,η)(A,η)-accretive mappings in Banach spaces. Our results generalize sensitivity analysis results of other recent works on strongly monotone quasi-variational inclusions, nonlinear implicit quasi-variational inclusions and nonlinear mixed quasi-variational inclusion systems.