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

Ravi P. Agarwal; Jewgeni H. Dshalalow; Donal O'Regan

doi:10.1155/IJMMS.2005.2775

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

Ravi P. Agarwal, Jewgeni H. Dshalalow, Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2775-2782
Number of pages	8
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	17
DOIs	https://doi.org/10.1155/IJMMS.2005.2775
Publication status	Published - 27 Oct 2005

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10.1155/IJMMS.2005.2775

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abstract = "New Leray-Schauder alternatives are presented for M{\"o}nch-type maps defined between Fr{\'e}chet spaces. The proof relies on viewing a Fr{\'e}chet space as the projective limit of a sequence of Banach spaces.",

author = "Agarwal, \{Ravi P.\} and Dshalalow, \{Jewgeni H.\} and Donal O'Regan",

year = "2005",

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Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: The projective limit approach. / Agarwal, Ravi P.; Dshalalow, Jewgeni H.; O'Regan, Donal.
In: International Journal of Mathematics and Mathematical Sciences, Vol. 2005, No. 17, 27.10.2005, p. 2775-2782.

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

TY - JOUR

T1 - Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces

T2 - The projective limit approach

AU - Agarwal, Ravi P.

AU - Dshalalow, Jewgeni H.

AU - O'Regan, Donal

PY - 2005/10/27

Y1 - 2005/10/27

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/31344443019

U2 - 10.1155/IJMMS.2005.2775

DO - 10.1155/IJMMS.2005.2775

M3 - Article

AN - SCOPUS:31344443019

SN - 0161-1712

VL - 2005

SP - 2775

EP - 2782

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 17

ER -

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

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