Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach | Zendy

Ravi P. Agarwal | Zendy; Jewgeni H. Dshalalow | Zendy; Donal O’Regan | Zendy

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Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach

Author(s) -

Ravi P. Agarwal,

Jewgeni H. Dshalalow,

Donal O’Regan

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2775

Subject(s) - mathematics , inverse limit , banach space , limit (mathematics) , type (biology) , projective test , pure mathematics , space (punctuation) , projective space , sequence (biology) , fixed point , fréchet space , discrete mathematics , functional analysis , mathematical analysis , interpolation space , ecology , biology , linguistics , philosophy , genetics , biochemistry , chemistry , gene

New Leray-Schauder alternatives are presented for Mönch-type maps defined between Fréchet spaces. The proof relies on viewing a Fréchet space as the projective limit of a sequence of Banach spaces

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