Search results for "Opial property"

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The Fixed Point Property in Banach Spaces with the NUS-Property

1997

Abstract In this paper, we show that the weak nearly uniform smooth Banach spaces have the fixed point property for nonexpansive mappings.

Discrete mathematicsMathematics::Functional AnalysisApproximation propertyApplied MathematicsEberlein–Šmulian theoremMathematics::Optimization and ControlBanach spaceBanach manifoldFixed-point propertyOpial propertyInterpolation spaceLp spaceAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Property (M) and the weak fixed point property

1997

It is shown that in Banach spaces with the property (M) of Kalton, nonexpansive self mappings of nonempty weakly compact convex sets necessarily have fixed points. The stability of this conclusion under renormings is examined and conditions for such spaces to have weak normal structure are considered.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsApproximation propertyApplied MathematicsGeneral MathematicsTopological tensor productEberlein–Šmulian theoremBanach spaceUniformly convex spaceFixed-point propertyOpial propertyInterpolation spaceMathematicsProceedings of the American Mathematical Society
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