Generalizations of fixed point theorems and computation

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)550-557
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume354
Issue number2
Publication statusPublished - 15 Jun 2009

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-60349121419&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(3c306a6a-e8b6-4418-94ab-0fe2d3cd3dbd).html

Abstract

As a powerful mechanism, fixed point theorems have many applications in mathematical and economic analysis. In this paper, the well-known Brouwer fixed point theorem and Kakutani fixed point theorem are generalized to a class of nonconvex sets and a globally convergent homotopy method is developed for computing fixed points on this class of nonconvex sets. Crown Copyright © 2009.

Research Area(s)

  • Fixed point, Global convergence, Homotopy method, Nonconvex set

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Publication fingerprints text

100
Fixed Points Mathematics
100
Point Theorem Mathematics
25
Homotopy Mathematics
25
Brouwer Fixed Point... Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Generalizations of fixed point theorems and computation. / Xu, Qing; Dang, Chuangyin; Zhu, Daoli.
In: Journal of Mathematical Analysis and Applications, Vol. 354, No. 2, 15.06.2009, p. 550-557.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review