Fixed Point Theory and Applications · 2013 · 39 citations · 26 references
ComputingComputer ScienceMathematicsAlgorithmsComputational PhysicsFinite Element MethodsConvergence AnalysisFixed PointsIterative SolversNumerical AlgorithmsNumerical ConvergenceOperator TheoryData Dependence AnalysisFixed-point ConvergenceFixed-point IterationOperators
Abstract In this paper, we prove that the convergence of a new iteration and S-iteration can be used to approximate the fixed points of contractive-like operators. We also prove some data dependence results for these new iteration and S-iteration schemes for contractive-like operators. Our results extend and improve some known results in the literature. MSC: 47H10.
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Mean value methods in iteration
W. Robert Mann · Proceedings of the American Mathematical Society · 1953 · 2.3K citations