Generalizations of Ascoli's theorems

Paweł Rolicz

Displaying similar documents to “Generalizations of Ascoli's theorems”

Expandability and its generalizations

Yûkiti Katuta (1975)

Fundamenta Mathematicae

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Some generalizations of one Mitrinovic's problem

Nikola Rosić (2000)

Kragujevac Journal of Mathematics

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The Converse To An Ascoli's Type Theorem

M. M. Drešević (1972)

Publications de l'Institut Mathématique

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Perturbed Hammerstein integral inclusions with solutions that change sign

Gennaro Infante, Paolamaria Pietramala (2009)

Commentationes Mathematicae Universitatis Carolinae

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We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of $[0, 1]$ . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.