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Fixed-point theorem
Known as:
Fixed point theory
, Fixpoint theorem
, Fixed point lemma
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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 interpretation
Arrow–Debreu model
Brouwer fixed-point theorem
Church–Turing thesis
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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
R. Roshan
,
N. Shobkolaei
,
S. Sedghi
,
M. Abbas
2014
Corpus ID: 23657734
In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b−metric space…
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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
B. Samet
Publicationes mathematicae (Debrecen)
2010
Corpus ID: 115324134
The aim of this discussion is to expose incorrect property of the generalized metric space introduced by A. Branciari in previous…
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Highly Cited
2008
Highly Cited
2008
Common fixed point theorems for pairs of subcompatible maps.
H. Bouhadjera
,
C. Godet-Thobie
2008
Corpus ID: 14510811
AbstractIn this paper, we introduce the new concepts of subcompatibility andsubsequential continuity which are respectively…
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2008
2008
FUNCTIONAL COMPRESSION-EXPANSION FIXED POINT THEOREM
R. Avery
,
J. Henderson
2008
Corpus ID: 51733262
This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an…
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Highly Cited
2007
Highly Cited
2007
A FIXED POINT THEOREM IN A GENERALIZED METRIC SPACE
P. Das
2007
Corpus ID: 29062444
We prove a fixed point theorem for uniformly locally contractive map- pings in a generalized metric space, a concept recently…
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Highly Cited
2006
Highly Cited
2006
FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES
M. Rafi
,
M. Noorani
2006
Corpus ID: 55634890
In this paper, we introduce intuitionistic fuzzy contraction map- ping and prove a fixed point theorem in intuitionistic fuzzy…
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2000
2000
Coincidence and fixed point theorems with applications
Q. Ansari
,
A. Idzik
,
J. Yao
2000
Corpus ID: 14937065
In this paper, we first establish a coincidence theorem under the noncompact settings. Then we derive some fixed point theorems…
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1990
1990
On a fixed point theorem of Fisher and Sessa
G. Jungck
1990
Corpus ID: 26714094
A fixed point theorem of Fisher and Sessa is generalized by replacing the requirements of commutativity and nonexpansiveness by…
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Highly Cited
1972
Highly Cited
1972
The Leray-Schauder index and the fixed point theory for arbitrary ANRs
A. Granas
1972
Corpus ID: 59427925
© Bulletin de la S. M. F., 1972, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf…
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1945
1945
A fixed-point theorem
A. D. Wallace
1945
Corpus ID: 35243377
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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