On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces

DOI10.2307/2048773zbMath0747.47040OpenAlexW4231853855MaRDI QIDQ3983074

Hong-Kun Xu, Kok-Keong Tan

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2048773

zbMATH Keywords

invariance of the fixed point propertynonexpansive weakly inward mappingsproduct of two spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (14)

Products of uniformly noncreasy spaces ⋮ Strong asymptotic normal structure and fixed points in product spaces ⋮ Fixed points of nonexpansive mappings ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ Fixed points of asymptotically nonexpansive type mappings ⋮ Fixed point theorems of nonexpansive mappings on weakly compact sets ⋮ GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES ⋮ Asymptotic normal structure and the semi-opial property ⋮ Uniform property (K) and its related properties ⋮ On the super fixed point property in product spaces ⋮ Direct sums of renormings of \(\ell _{1}\) and the fixed point property ⋮ Geometrical conditions in product spaces ⋮ Fixed point property of direct sums ⋮ Asymptotically isometric copies of \(c_0\) and renormings of Banach spaces

Cites Work

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• Uniformly normal structure and related coefficients
• Banach spaces which are nearly uniformly convex
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• Nonexpansive and locally nonexpansive mappings in product spaces
• Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
• A Generalization of Uniformly Rotund Banach Spaces
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• On Normal Structure, Fixed Point Property and Contractions of Type (γ)
• Fixed point theory for nonexpansive mappings. II
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

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