Further properties of 1- and 2-dimensional U- and W-convexity and fixed point of nonexpansive mappings in Banach spaces \(X\) and \(X^\ast\)

DOI10.1155/2021/5541362zbMath1477.46013OpenAlexW3159243472MaRDI QIDQ2036072

Ji Gao

Publication date: 28 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5541362

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• A characterization of proximal normal structure via proximal diametral sequences
• Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-\(\text{UKK}^\ast\) spaces
• U-FLATNESS AND NON-EXPANSIVE MAPPINGS IN BANACH SPACES
• Uniform smoothness implies super-normal structure property
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• Weakly Compact Sets
• A Fixed Point Theorem for Mappings which do not Increase Distances
• An Extension to the Theorem of Bishop and Phelps

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