Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces (Q1758309)

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scientific article; zbMATH DE number 6103933
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Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces
scientific article; zbMATH DE number 6103933

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    Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces (English)
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    9 November 2012
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    The authors prove attractive and fixed point theorems as well as a nonlinear ergodic theorem for 2-generalized hybrid mappings in Hilbert spaces, extending results obtained for generalized hybrid mappings by \textit{W. Takahashi} and \textit{Y. Takeuchi} [J. Nonlinear Convex Anal. 12, No. 2, 399--406 (2011; Zbl 1230.47085)].
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    2-generalized hybrid mappings
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    attractive points
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    fixed points
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    nonlinear ergodic theorems
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    generalized hybrid mapping
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    Banach limits
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