0000000000749263

AUTHOR

Stanisław Prus

showing 1 related works from this author

The fixed point property for mappings admitting a center

2007

Abstract We introduce a class of nonlinear continuous mappings in Banach spaces which allow us to characterize the Banach spaces without noncompact flat parts in their spheres as those that have the fixed point property for this type of mapping. Later on, we give an application to the existence of zeroes for certain kinds of accretive operators.

Discrete mathematicsNonlinear systemClass (set theory)Applied MathematicsBanach spaceCenter (group theory)Fixed pointType (model theory)Fixed-point propertyAnalysisNonlinear operatorsMathematicsNonlinear Analysis: Theory, Methods & Applications
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