Iterative Solution of Nonliner Multivalued Φ-Steongly Accertive Mapping Equation in Banach Spaces

Lili Liu · Journal of Hebei University · 2006

In general Banach space,Ishikawa and Mann iteration sequence with errors for nonlinear multi-valued Φ-strongly accretive mapping are constructed.By using property of uniform continuity of multi-valued mappings,some sufficient conditions of convergence theorems of Ishikawa and Mann iterative sepuences with errors are given.Because single-valued mappings are the special cases of multi-valued and the mappings do not require condition of Lipschitz,so main results presented improve and extend relevant results of reference literature.

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