Fixed point theory in Fréchet spaces for Volterra type operators

Donal O'Regan; Xu Xian

doi:10.1080/00036810701595951

Fixed point theory in Fréchet spaces for Volterra type operators

Donal O'Regan
, Xu Xian

Mathematics

Jiangsu Normal University

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

3 Citations (Scopus)

Abstract

New fixed point theorems for maps (single and multivalued) between Fréchet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

Original language	English
Pages (from-to)	1237-1248
Number of pages	12
Journal	International Journal of Phytoremediation
Volume	86
Issue number	10
DOIs	https://doi.org/10.1080/00036810701595951
Publication status	Published - Oct 2007

Keywords

47H10
AMS Subject Classification
Fixed point theory
Projective limits

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

Authors
O'Regan, D;Xian, X

Access to Document

10.1080/00036810701595951

Cite this

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title = "Fixed point theory in Fr{\'e}chet spaces for Volterra type operators",

abstract = "New fixed point theorems for maps (single and multivalued) between Fr{\'e}chet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Fr{\'e}chet space as the projective limit of a sequence of Banach spaces.",

keywords = "47H10, AMS Subject Classification, Fixed point theory, Projective limits",

author = "Donal O'Regan and Xu Xian",

year = "2007",

month = oct,

doi = "10.1080/00036810701595951",

language = "English",

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pages = "1237--1248",

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T1 - Fixed point theory in Fréchet spaces for Volterra type operators

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AU - Xian, Xu

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AB - New fixed point theorems for maps (single and multivalued) between Fréchet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

KW - 47H10

KW - AMS Subject Classification

KW - Fixed point theory

KW - Projective limits

UR - https://www.scopus.com/pages/publications/84861692472

U2 - 10.1080/00036810701595951

DO - 10.1080/00036810701595951

M3 - Article

SN - 1522-6514

VL - 86

SP - 1237

EP - 1248

JO - International Journal of Phytoremediation

JF - International Journal of Phytoremediation

IS - 10

ER -

Fixed point theory in Fréchet spaces for Volterra type operators

Abstract

Keywords

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

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