Perturbed iterative algorithms with errors for generalized set-valued quasi variational inclusions in Banach spaces
Shi Chao · Journal of Xidian University · 2003
A new generalized setvalued quasi variational inclusions in Banach spaces: 0∈N(w,y)+A(g(u),u) is studied, which include many variational inclusions studied by others in recent years. Using the resolvent technique, we establish the equivalence between the generalized setvalued quasi variational inclusions in Banach spaces and the fixed point problems, and some perturbed iterative algorithms with errors. We also prove that their proximate solution sequence converges to its exact solution in real Banach spaces. Our results improve and generalize many known corresponding algorithms and results.