0000000000555574

AUTHOR

J. García Falset

showing 2 related works from this author

Fixed point properties and proximinality in Banach spaces

2009

Abstract In this paper we prove the existence of a fixed point for several classes of mappings (mappings admitting a center, nonexpansive mappings, asymptotically nonexpansive mappings) defined on the closed convex subsets of a Banach space satisfying some proximinality conditions. In particular, we derive a sufficient condition, more general than weak star compactness, such that if C is a bounded closed convex subset of l 1 satisfying this condition, then every nonexpansive mapping T : C → C has a fixed point.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsApplied MathematicsRegular polygonBanach spaceCenter (group theory)Star (graph theory)Fixed pointCompact spaceBounded functionCoincidence pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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The fixed point property in banach spaces whose characteristic of uniform convexity is less than 2

1993

AbstractWe prove that every Banach space X with characteristic of uniform convexity less than 2 has the fixed point property whenever X satisfies a certain orthogonality condition.

Discrete mathematicsPure mathematicsApproximation propertyEberlein–Šmulian theoremFixed-point theoremUniformly convex spaceGeneral MedicineBanach manifoldFixed-point propertyLp spaceConvexityMathematicsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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