Fixed point theory for compact absorbing contractive admissible type maps

Ravi P. Agarwal; Donal O'Regan

doi:10.1080/00036810701858755

Fixed point theory for compact absorbing contractive admissible type maps

Ravi P. Agarwal
, Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

10 Citations (Scopus)

Abstract

In this article we present new Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet spaces. Also, we discuss condensing maps with a compact attractor. Finally we present new antipodal fixed point theory for Kakutani maps.

Original language	English
Pages (from-to)	497-508
Number of pages	12
Journal	Applicable Analysis
Volume	87
Issue number	5
DOIs	https://doi.org/10.1080/00036810701858755
Publication status	Published - 1 May 2008

Keywords

47H10
Fixed point theory
Projective limits

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;O'Regan, D

Access to Document

10.1080/00036810701858755

Cite this

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title = "Fixed point theory for compact absorbing contractive admissible type maps",

abstract = "In this article we present new Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fr{\'e}chet spaces. Also, we discuss condensing maps with a compact attractor. Finally we present new antipodal fixed point theory for Kakutani maps.",

keywords = "47H10, Fixed point theory, Projective limits",

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

year = "2008",

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T1 - Fixed point theory for compact absorbing contractive admissible type maps

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

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N2 - In this article we present new Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet spaces. Also, we discuss condensing maps with a compact attractor. Finally we present new antipodal fixed point theory for Kakutani maps.

AB - In this article we present new Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet spaces. Also, we discuss condensing maps with a compact attractor. Finally we present new antipodal fixed point theory for Kakutani maps.

KW - 47H10

KW - Fixed point theory

KW - Projective limits

UR - https://www.scopus.com/pages/publications/77951280424

U2 - 10.1080/00036810701858755

DO - 10.1080/00036810701858755

M3 - Article

SN - 0003-6811

VL - 87

SP - 497

EP - 508

JO - Applicable Analysis

JF - Applicable Analysis

IS - 5

ER -

Fixed point theory for compact absorbing contractive admissible type maps

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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