Fixed point theory for weakly inward Kakutani maps: The projective limit approach

Ravi P. Agarwal; Donal O'Regan

doi:10.1090/S0002-9939-06-08680-1

Fixed point theory for weakly inward Kakutani maps: The projective limit approach

Ravi P. Agarwal
, Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

New fixed point results are presented for weakly inward Kakutani condensing maps defined on a Fréchet space E. The proofs rely on the notion of an essential map and viewing E as the projective limit of a sequence of Banach spaces.

Original language	English
Pages (from-to)	417-426
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-06-08680-1
Publication status	Published - Feb 2007

Keywords

Essential map
Fixed point
Kakutani condensing map
Projective limit
Weakly inward

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10.1090/S0002-9939-06-08680-1

Cite this

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title = "Fixed point theory for weakly inward Kakutani maps: The projective limit approach",

abstract = "New fixed point results are presented for weakly inward Kakutani condensing maps defined on a Fr{\'e}chet space E. The proofs rely on the notion of an essential map and viewing E as the projective limit of a sequence of Banach spaces.",

keywords = "Essential map, Fixed point, Kakutani condensing map, Projective limit, Weakly inward",

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

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T1 - Fixed point theory for weakly inward Kakutani maps

T2 - The projective limit approach

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

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AB - New fixed point results are presented for weakly inward Kakutani condensing maps defined on a Fréchet space E. The proofs rely on the notion of an essential map and viewing E as the projective limit of a sequence of Banach spaces.

KW - Essential map

KW - Fixed point

KW - Kakutani condensing map

KW - Projective limit

KW - Weakly inward

UR - https://www.scopus.com/pages/publications/77950687447

U2 - 10.1090/S0002-9939-06-08680-1

DO - 10.1090/S0002-9939-06-08680-1

M3 - Article

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VL - 135

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EP - 426

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Fixed point theory for weakly inward Kakutani maps: The projective limit approach

Abstract

Keywords

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