On some Banach space properties sufficient for weak normal structure and their permanence properties

DOI10.1090/S0002-9947-99-01862-0zbMath0909.47041MaRDI QIDQ4219167

Michael A. Smyth, Brailey Sims

Publication date: 18 November 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

normal structurepermanence propertiesmetric behavior of weakly convergent sequences

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)

Related Items (18)

Products of uniformly noncreasy spaces ⋮ Banach space properties sufficient for normal structure ⋮ Fixed point theorems and demiclosedness principle for mappings of asymptotically nonexpansive type in Banach spaces ⋮ The weak fixed point property of direct sums of some Banach spaces ⋮ On some geometric constants and the fixed point property for multivalued nonexpansive mappings ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ The fixed point property of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm ⋮ Normal structure and moduli of UKK, NUC, and UKK* in Banach spaces ⋮ On the upper bounds of WCS coefficients in Orlicz function spaces ⋮ Asymptotic normal structure and the semi-opial property ⋮ Some inequalities concerning the weakly convergent sequence coefficient in Banach spaces ⋮ THE FIXED POINT PROPERTY IN DIRECT SUMS AND MODULUS ⋮ A 3-space problem related to the fixed point property ⋮ On weak uniform normal structure in weighted Orlicz sequence spaces ⋮ Fixed point property and approximation of a class of nonexpansive mappings ⋮ Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings ⋮ On the super fixed point property in product spaces ⋮ The exact value of normal structure coefficients in a class of Orlicz sequence spaces

Cites Work

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• Normal structure in Banach spaces
• The normal structure of James quasi reflexive space
• Some Properties of the Set and Ball Measures of Non-Compactness and Applications
• Nest Algebras of Operators and the Dunford-Pettis Property
• Stability of weak normal structure in James quasi reflexive space
• Weak uniform normal structure in direct sum spaces
• Weakly Convergent Sequence Coefficient of Product Space
• (KK)-Properties, Normal Structure and Fixed Points of Nonexpansive Mappings in Orlicz Sequence Spaces
• ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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