A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets

A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets

Year:    2009

Author:    Menglong Su, Xianrui Lü, Yong Ma

Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 137–142

Abstract

In this paper, an unbounded condition is presented, under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets. Two numerical examples in R$^3$ are presented to illustrate the results in this paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19294

Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 137–142

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    unbounded condition interior point homotopy method Brouwer fixed point problem.

Author Details

Menglong Su

Xianrui Lü

Yong Ma