Fixed-point theorem

Known as: Fixed point theory, Fixpoint theorem, Fixed point lemma 
In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under… (More)
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Related topics

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26 relations
Abstract interpretationArrow–Debreu modelBrouwer fixed-point theoremChurch–Turing thesis
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Papers overview

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Highly Cited
2010
Highly Cited
2010
A Common Fixed Point Theorem For Weakly Compatible Mappings
  • Gutti Venkata, Ravindranadh Babu, Alemayehu Geremew Negash
  • 2010
The aim of this paper is to prove the existence of common fixed points for a pair of weakly compatible selfmaps satisfying weakly… (More)
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2007
2007
Abian's Fixed Point Theorem
(The range of f is not necessarily the subset of its domain). The proof of the sufficiency is by induction on the number of… (More)
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Highly Cited
2006
Highly Cited
2006
A FIXED POINT THEOREM IN MENGER SPACES
  • Servet Kutukcu
  • 2006
In the present work, we prove a fixed point theorem in Menger spaces through weak compatibility. Mathematics Subject… (More)
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2005
2005
Discrete fixed point theorem reconsidered
  • Takuya Iimura, Kazuo Murota, Akihisa Tamura
  • 2005
The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura’s discrete fixed point theorem [J… (More)
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Highly Cited
2004
Highly Cited
2004
A fixed point theorem in partially ordered sets and some applications to matrix equations
  • André C. M. Ran, Martine C.B. Reurings
  • 2004
An analogue of Banach’s fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear… (More)
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Highly Cited
2004
Highly Cited
2004
Banach's Fixed Point Theorem for Partial Metric Spaces
In 1994, S.G. Matthews introduced the notion of a partial metric space and obtained, among other results, a Banach contraction… (More)
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Highly Cited
1998
Highly Cited
1998
A Fixed Point Theorem of Krasnoselskii—Schaefer Type
In this paper we focus on three fixed point theorems and an integral equation. Schaefer’s fixed point theorem will yield a T… (More)
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Highly Cited
1979
Highly Cited
1979
CONSTRUCTIVE VERSIONS OF TARSKΓS FIXED POINT THEOREMS
Let F be a monotone operator on the complete lattice L into itself. Tarski's lattice theoretical fixed point theorem states that… (More)
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Highly Cited
1972
Highly Cited
1972
A fixed point theorem for asymptotically nonexpansive mappings
  • Kazimierz Goebel, W. A. Kirk
  • 1972
Let K be a subset of a Banach space X. A mapping F.K-+KÍ& said to be asymptotically nonexpansive if there exists a sequence {k… (More)
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1957
1957
A fixed point theorem
  • B. O’Neill, E. G. Straus
  • 1957
1. The fixed point theorem. Let T: X^> Y be a point-to-set function and let T~l: Y—>X be the point-to-set function such that xET… (More)
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