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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
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Papers overview

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Highly Cited
2008
Highly Cited
2008
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
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
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
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
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
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
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
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
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
Abstract : Kakutani's Fixed Point Theorem states that in Euclidean n-space a closed point to (non-void) convex set map of a… Expand