The Existence and Uniqueness of the Solutions for Some Non-monotone Binary Operator Equations A(x,x)=Cx

Bo Li · Journal of Hebei Normal University · 2009

By using Mann iterative technique,the existence and uniqueness of solutions of some non-monotone binary operator equations are studied without continuity and compactness conditions A(x,x)=Cx.And the error estimates of the iteration sequences which converge to solution of operator equations are also given.The results presented here improve and generalize some corresponding results.

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