6533b82afe1ef96bd128ba6c
RESEARCH PRODUCT
Fixed point theory for almost convex functions
Jesús Garcia-falsetEnrique Llorens-fusterBrailey Simssubject
Convex analysisLeast fixed pointPure mathematicsApplied MathematicsMathematical analysisConvex setSubderivativeAbsolutely convex setFixed pointKakutani fixed-point theoremFixed-point propertyAnalysisMathematicsdescription
Traditionally, metric fixed point theory has sought classes of spaces in which a given type of mapping (nonexpansive, assymptotically or generalized nonexpansive, uniformly Lipschitz, etc.) from a nonempty weakly compact convex set into itself always has a fixed point. In some situations the class of space is determined by the application while there is some degree of freedom in constructing the map to be used. With this in mind we seek to relax the conditions on the space by considering more restrictive types of mappings.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-05-01 |