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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… Expand
Wikipedia

Related topics

Related topics

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

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2008
Highly Cited
2008
Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
We prove some fixed point results for mapping satisfying sufficient conditions on complete -metric space, also we showed that if… Expand
Highly Cited
2007
Highly Cited
2007
Fixed point theorems in ordered abstract spaces
We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets… Expand
Highly Cited
2005
Highly Cited
2005
On Banach fixed point theorems for partial metric spaces
In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O… Expand
Highly Cited
2004
Highly Cited
2004
Banach's Fixed Point Theorem for Partial Metric Spaces
Summary. - In 1994, S.G. Matthews introduced the notion of a partial metric space and obtained, among other results, a Banach… Expand
Highly Cited
2003
Highly Cited
2003
Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
This paper is devoted to study the existence of periodic solutions of the second-order equation x 00 ¼ f ðt; xÞ; where f is a… Expand
Highly Cited
2002
Highly Cited
2002
A FIXED POINT THEOREM FOR MAPPINGS SATISFYING A GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE
We analyze the existence of fixed points for mappings defined on complete metric spaces (X,d) satisfying a general contractive… Expand
Highly Cited
1983
Highly Cited
1983
The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
Abstract : The following conjecture of V. I. Arnold is proved: every measure preserving diffeomorphism of the torus T2, which is… Expand
Highly Cited
1972
Highly Cited
1972
A FIXED POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Let K be a subset of a Banach space X. A mapping F.K-+KI& said to be asymptotically nonexpansive if there exists a sequence {ki… Expand
Highly Cited
1968
Highly Cited
1968
A fixed point theorem of the alternative, for contractions on a generalized complete metric space
1. Summary. The purpose of this note is to prove a "theorem of the alternative" for any "contraction mapping" T on a "generalized… Expand
Highly Cited
1952
Highly Cited
1952
A FURTHER GENERALIZATION OF THE KAKUTANI FIXED POINT THEOREM, WITH APPLICATION TO NASH EQUILIBRIUM POINTS
Abstract : Kakutani's Fixed Point Theorem states that in Euclidean n-space a closed point to (non-void) convex set map of a… Expand
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