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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… 
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Related topics

Related topics

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

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Common fixed point of four maps in b−metric spaces
In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b−metric space… 
Highly Cited
2012
Highly Cited
2012
The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
Highly Cited
2010
Highly Cited
2010
Discussion on "A fixed point theorem of Banach--Caccioppoli type on a class of generalized metric spaces" by A. Branciari
The aim of this discussion is to expose incorrect property of the generalized metric space introduced by A. Branciari in previous… 
Highly Cited
2008
Highly Cited
2008
Common fixed point theorems for pairs of subcompatible maps.
AbstractIn this paper, we introduce the new concepts of subcompatibility andsubsequential continuity which are respectively… 
2008
2008
FUNCTIONAL COMPRESSION-EXPANSION FIXED POINT THEOREM
This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an… 
2008
2008
Fixed Point Theorem on Uncomplete G-Metric Spaces
Problem statement: Over the past two decades the development of fixed point theory in metric spaces has attracted considerable… 
Highly Cited
2007
Highly Cited
2007
A FIXED POINT THEOREM IN A GENERALIZED METRIC SPACE
We prove a fixed point theorem for uniformly locally contractive map- pings in a generalized metric space, a concept recently… 
2003
2003
SOME REMARKS ON A FIXED POINT THEOREM OF KRASNOSELSKII
Using a particular locally convex space and Schaefer’s theorem, a generalization of Krasnoselskii’s xed point Theorem is proved… 
1990
1990
On a fixed point theorem of Fisher and Sessa
A fixed point theorem of Fisher and Sessa is generalized by replacing the requirements of commutativity and nonexpansiveness by… 
1945
1945
A fixed-point theorem
Introduction. The purpose of this note is to sharpen a recent result of G. E. Schweigert [4]. It will be shown that the condition… 
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