General Higher-Order Lipschitz Mappings

Joseph Frank Gordon and Ching-Feng Wen

Journal of Mathematics, 2021, vol. 2021, 1-7

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5570373

DOI: 10.1155/2021/5570373

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