Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

Ravi P. Agarwal; Donal O'Regan

doi:10.1155/IJMMS/2006/43635

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

Ravi P. Agarwal
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.

Original language	English
Article number	43635
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2006
DOIs	https://doi.org/10.1155/IJMMS/2006/43635
Publication status	Published - 2006

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title = "Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fr{\'e}chet space",

abstract = "New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fr{\'e}chet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.",

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AB - New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.

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DO - 10.1155/IJMMS/2006/43635

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JO - International Journal of Mathematics and Mathematical Sciences

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Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

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