General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces

نویسندگان

  • Heng-You Lan
  • Yeol Je Cho
  • Wei Xie
چکیده

We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach spaces. By using the Chang’s lemma and the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang 2001 , we also prove the existence theorems of the solution and convergence theorems of the generalized random iterative procedures with errors for this nonlinear random multivalued operator equations in q-uniformly smooth Banach spaces. The results presented in this paper improve and generalize some known corresponding results in iterature.

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تاریخ انتشار 2009