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General higher-order Lipschitz mappings - MaRDI portal

General higher-order Lipschitz mappings (Q2034500)

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scientific article; zbMATH DE number 7361856
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General higher-order Lipschitz mappings
scientific article; zbMATH DE number 7361856

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    General higher-order Lipschitz mappings (English)
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    22 June 2021
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    Summary: In this paper, we introduce a new class of mappings and investigate their fixed point property. In the first direction, we prove a fixed point theorem for general higher-order contraction mappings in a given metric space and finally prove an approximate fixed point property for general higher-order nonexpansive mappings in a Banach space.
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    higher-order contraction mappings
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    metric space
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    approximate fixed point property
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    higher-order nonexpansive mappings
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    Banach space
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