Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach

Ravi P. Agarwal; Donal O'Regan

doi:10.1155/JAMSA/2006/92375

Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach

Ravi P. Agarwal
, Donal O'Regan

Mathematics

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

3 Citations (Scopus)

Abstract

We present a generalization of the cone compression and expansion results due to Krasnoselskii and Petryshyn for multivalued maps defined on a Fréchet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.

Original language	English
Article number	92375
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	2006
DOIs	https://doi.org/10.1155/JAMSA/2006/92375
Publication status	Published - 2006

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abstract = "We present a generalization of the cone compression and expansion results due to Krasnoselskii and Petryshyn for multivalued maps defined on a Fr{\'e}chet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.",

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AB - We present a generalization of the cone compression and expansion results due to Krasnoselskii and Petryshyn for multivalued maps defined on a Fréchet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.

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DO - 10.1155/JAMSA/2006/92375

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JO - Journal of Applied Mathematics and Stochastic Analysis

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Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach

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