ISHIKAWA TYPE PERTURBED ITERATIVE ALGORITHM GENERAL NONLINEAR VARIATIONAL INCLUSIONS
This work was supported by the State 863 Program (2003AA148040), the National Natural Science Foundation of China (grant number 10471151,60216263, 6990312), New Century Excellent Talent Support Project of Chinese Ministry of Education, Doctor Station Foundation of Chinese Ministry of Education, Chongqing Tackle Key Problem Program (CSTC, 2004AC2008) and Chongqing Natural Science Foundation (CSTC, 2004BB2151).
The purpose of this paper is to introduce a new class of general nonlinear variational inclusions with H - accretive operators in Banach spaces and prove its equivalence with a class of fixed point problems by making use of the properties of H - accretive operator, we also prove the existence of solution for this general nonlinear variational inclusions and the convergence of iterative sequences generated by new perturbed algorithm. The results presented in this paper improve and generalize some recent results in this field.
