Fixed point theory for volterra contractive operators of matkowski type in frechet spaces

Yeol Je Cho; Donal O'Regan

Fixed point theory for volterra contractive operators of matkowski type in frechet spaces

Yeol Je Cho, Donal O'Regan

Mathematics

Gyeongsang National University

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

1 Citation (Scopus)

Abstract

We first prove a fixed point theorem for contractive maps of Matkowski type defined on a closed subset of a Fréchet space. Also we establish new Leray-Schauder results for contractive type maps between Fréchet spaces. The proof relies on fixed point theory in Danach spaces and viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

Original language	English
Pages (from-to)	871-884
Number of pages	14
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	15
Issue number	6
Publication status	Published - Dec 2008

Keywords

Contractive map of Matkowski type
Fixed point theory
Fréchet space
Leray-Schauder result
Projective limits

Cite this

@article{161ef3a34ca5476ea21986b92e37e203,

title = "Fixed point theory for volterra contractive operators of matkowski type in frechet spaces",

abstract = "We first prove a fixed point theorem for contractive maps of Matkowski type defined on a closed subset of a Fr{\'e}chet space. Also we establish new Leray-Schauder results for contractive type maps between Fr{\'e}chet spaces. The proof relies on fixed point theory in Danach spaces and viewing a Fr{\'e}chet space as the projective limit of a sequence of Banach spaces.",

keywords = "Contractive map of Matkowski type, Fixed point theory, Fr{\'e}chet space, Leray-Schauder result, Projective limits",

author = "Cho, \{Yeol Je\} and Donal O'Regan",

year = "2008",

month = dec,

language = "English",

volume = "15",

pages = "871--884",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

issn = "1201-3390",

publisher = "Watam Press",

number = "6",

}

TY - JOUR

T1 - Fixed point theory for volterra contractive operators of matkowski type in frechet spaces

AU - Cho, Yeol Je

AU - O'Regan, Donal

PY - 2008/12

Y1 - 2008/12

N2 - We first prove a fixed point theorem for contractive maps of Matkowski type defined on a closed subset of a Fréchet space. Also we establish new Leray-Schauder results for contractive type maps between Fréchet spaces. The proof relies on fixed point theory in Danach spaces and viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

AB - We first prove a fixed point theorem for contractive maps of Matkowski type defined on a closed subset of a Fréchet space. Also we establish new Leray-Schauder results for contractive type maps between Fréchet spaces. The proof relies on fixed point theory in Danach spaces and viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

KW - Contractive map of Matkowski type

KW - Fixed point theory

KW - Fréchet space

KW - Leray-Schauder result

KW - Projective limits

UR - https://www.scopus.com/pages/publications/57249105535

M3 - Article

AN - SCOPUS:57249105535

SN - 1201-3390

VL - 15

SP - 871

EP - 884

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 6

ER -

Fixed point theory for volterra contractive operators of matkowski type in frechet spaces

Abstract

Keywords

Other files and links

Fingerprint

Cite this