Construction of fixed points of strictly-pseudo contractive mappings in a generalized Hilbert space and related applications (Q1071289)
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scientific article; zbMATH DE number 3940069
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| English | Construction of fixed points of strictly-pseudo contractive mappings in a generalized Hilbert space and related applications |
scientific article; zbMATH DE number 3940069 |
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Construction of fixed points of strictly-pseudo contractive mappings in a generalized Hilbert space and related applications (English)
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1984
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A theorem regarding weak convergence of iterates of a strictly pseudo- contractive mapping to a fixed point of the mapping is proved in a generalized Hilbert space. This generalizes a result of \textit{F. E. Browder} and \textit{W. V. Petryshyn} [J. Math. Anal. Appl. 20, 192-228 (1967; Zbl 0153.457)] for such a mapping on a Hilbert space. We also give an application of fixed point theory in Hilbert space for strictly pseudocontractive mappings related to proximity maps.
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convergence of iterates of a strictly pseudo-contractive mapping to a fixed point
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generalized Hilbert space
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strictly pseudocontractive mappings related to proximity maps
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0.851496696472168
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0.8455405831336975
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