Geodesic
Operator type expansion-compression fixed point theorem
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This article presents an alternative to the compression and expansion fixed point theorems of functional type by using operators and functions to replace the functionals and constants that are used in functional compression and expansion fixed point theorems. Only portions of the boundaries are required to be mapped outward or inward in the spirit of the original work of Leggett-Williams. We conclude with an application verifying the existence of a positive solution to a second-order boundary-value problem.
Classification : 47H10
Keywords: fixed-point theorems, Leggett-Williams, expansion, compression, positive solutions 
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     author = {Anderson, Douglas R. and Avery, Richard I. and Henderson, Johnny and Liu, Xueyan},
     title = {Operator type expansion-compression fixed point theorem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a21/}
}
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Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny; Liu, Xueyan. Operator type expansion-compression fixed point theorem. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a21/