Approximate Fixed Point Theorems

S.H. Tijs, A. Torre, R. Brânzei

Research output: Working paperDiscussion paperOther research output

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Abstract

Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages8
Volume2001-55
Publication statusPublished - 2001

Publication series

NameCentER Discussion Paper
Volume2001-55

Fingerprint

Approximate Fixed Point
Fixed point theorem
Nonexpansive Map
Stefan Banach

Keywords

  • fixed point theorem
  • almost fixed point
  • contraction theorem
  • approximate fixed point

Cite this

Tijs, S. H., Torre, A., & Brânzei, R. (2001). Approximate Fixed Point Theorems. (CentER Discussion Paper; Vol. 2001-55). Tilburg: Operations research.
Tijs, S.H. ; Torre, A. ; Brânzei, R. / Approximate Fixed Point Theorems. Tilburg : Operations research, 2001. (CentER Discussion Paper).
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year = "2001",
language = "English",
volume = "2001-55",
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Tijs, SH, Torre, A & Brânzei, R 2001 'Approximate Fixed Point Theorems' CentER Discussion Paper, vol. 2001-55, Operations research, Tilburg.

Approximate Fixed Point Theorems. / Tijs, S.H.; Torre, A.; Brânzei, R.

Tilburg : Operations research, 2001. (CentER Discussion Paper; Vol. 2001-55).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - Approximate Fixed Point Theorems

AU - Tijs, S.H.

AU - Torre, A.

AU - Brânzei, R.

N1 - Pagination: 8

PY - 2001

Y1 - 2001

N2 - Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.

AB - Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.

KW - fixed point theorem

KW - almost fixed point

KW - contraction theorem

KW - approximate fixed point

M3 - Discussion paper

VL - 2001-55

T3 - CentER Discussion Paper

BT - Approximate Fixed Point Theorems

PB - Operations research

CY - Tilburg

ER -

Tijs SH, Torre A, Brânzei R. Approximate Fixed Point Theorems. Tilburg: Operations research. 2001. (CentER Discussion Paper).