ON NONLINEAR SET-VALUED VARIATIONAL INCLUSIONS WITH H – ACCRETIVE MAPPINGS IN BANACH SPACES
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).
A new class of nonlinear set-valued variational inclusions involiving H – accretive mapping in Banach spaces is studied. A new iterative algorithm is constructed by using the resolvent operator technique for H – accretive mapping due to Fang and Huang. The convergence criteria for the algorithm is also discussed.