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Almost-fixed-point and fixed-point theorems for discrete-valued maps
1992
Journal of combinatorial theory. Series A
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from X into Zd and fixed-point theorems for segment-valued multifunctions from X into 9(Zd). ...
We say that x E X is an almost-fixed-point off if In this paper, we show how some fixed-point theorems from (nonlinear functional) analysis can be used to obtain almost-fixed-poi:nt theorems for functions ...
from X into Zd and fixed-point theorems for segment-valued multifunctions from X into 9(Zd). ...
doi:10.1016/0097-3165(92)90046-w
fatcat:qadu6cvmmjdmpju3kanbtnhtaq
An integer optimization problem for non-Hamiltonian periodic flows
[article]
2013
arXiv
pre-print
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We point out an integer optimization problem to find a lower bound B(n) on the number of equilibrium points of non-Hamiltonian symplectic periodic flows on manifolds M in C. ...
As a consequence, we confirm in dimensions 2n in 8,10,12,14,18,20, 22 a conjecture for unitary manifolds made by Kosniowski in 1979 for the subclass C. ...
Mc-Duff for useful comments. AP was partially supported by an NSF CAREER DMS-1055897. ...
arXiv:1307.6766v1
fatcat:6tyoapk4k5apfe7zko7qsui3uy
Convexity in Helly Graphs: Selection and Almost Fixed Point Properties for Multifunctions
2006
Electronical Notes in Theoretical Computer Science
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In particular, we show that for any positive number p, every Helly graph has the neighbourhood convexity p 2 -almost fixed point property for p-weak multifunctions; and any self-mapping neighbourhood convexity ...
We then consider various neighbourhood-convexity almost fixed point properties for Helly graphs. ...
to the connection Fixed points of continuous functions ←→ Almost fixed points of (many-valued) graph homomorphisms This "link" between almost fixed point properties of discrete structures and fixed point ...
doi:10.1016/j.entcs.2006.04.030
fatcat:j4xuyhnmurcyjbgmvgelds6ye4
A Fixed Point Theorem for Left Amenable Semi-Topological Semi Groups
2015
Journal of Physical Mathematics
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In this note, we extend and improve the corresponding result of Takahashi [1969. Fixed point theorem for amenable semigroup of non-expansive mappings, Kodai Math. Sem. Rep. 21, 383-386]. ...
Therefore contains only one point which is a common fixed point for the action of . ∎ Obviously every amenable discrete semigroup is a left amenable semi-topological semigroup, so we can apply theorem ...
For any non-empty compact convex subset of a Banach space , each commuting family of non-expansive self mappings on has a common fixed point in . ...
doi:10.4172/2090-0902.1000138
fatcat:asmhnhoxy5eq3ksfdbhhvvenaa
Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces
2015
Discrete Dynamics in Nature and Society
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We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. ...
As an application, we obtain a common fixed point of a pair of weakly compatible mappings. ...
Discrete Dynamics in Nature and Society ...
doi:10.1155/2015/147303
fatcat:kbqqe46o4nhcxfr5miyuxcqz2i
Fermat and the number of fixed points of periodic flows
[article]
2014
arXiv
pre-print
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Moreover, if the fixed point set is discrete, we prove divisibility properties for the number of fixed points, improving similar statements obtained by Hirzebruch in 1999. ...
We obtain a general lower bound for the number of fixed points of a circle action on a compact almost complex manifold M of dimension 2n with nonempty fixed point set, provided the Chern number c_1c_n- ...
that the fixed point set is discrete. ...
arXiv:1404.4541v1
fatcat:p2rkt2dxbbcqbjzhu6hge6z64e
Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions
2015
Journal of Mathematics
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The members of the sequence are assumed to be multivalued almost contractions. We show that the fixed point sets of this sequence of mappings are stable. ...
We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff ...
One of the reasons behind this is that multivalued mappings often have more fixed points than their single valued counterparts. For instance, in the theorem of Nadler Jr. ...
doi:10.1155/2015/302012
fatcat:xbtbxct34bdp7byl4gc75c7qe4
Page 5519 of Mathematical Reviews Vol. , Issue 2004g
[page]
2004
Mathematical Reviews
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Specific appli-
refined structures and
cations developed are a ‘digital convexity’ (discrete) version of
Kakutani’s fixed point theorem for convex-valued multifunctions, and fixed point properties of dendrites ...
The link between almost fixed point properties of discrete structures and fixed point properties of spaces. (English summary)
On formal description of computations new trends (Cork, 2000).
Appl. ...
Page 2294 of Mathematical Reviews Vol. , Issue 80F
[page]
1980
Mathematical Reviews
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The author defines a general notion of contraction for set-valued
mappings of a metric space into itself and proves fixed-point
theorems for such mappings of compact complete metric spaces,
In the latter ...
Achari, J. 80f:54041
Some fixed point theorems for a class of mappings.
Mat. Vesnik 2(15)(30) (1978), no. 2, 161-165. ...
Page 4471 of Mathematical Reviews Vol. , Issue 89H
[page]
1989
Mathematical Reviews
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Some fixed point theorems for the first class of maps are given and a number of convergence properties (weak convergence and strong convergence) of the sequences of iterates for the second class of maps ...
Finally, the authors discuss a fixed point theorem for locally nonexpansive mappings on (X¥ @Y).o. A. J. B. ...
Solving Fixed-Point Problems with Inequality and Equality Constraints via a Non-Interior Point Homotopy Path-Following Method
2017
Mathematical Problems in Engineering
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In this paper, we provide a constructive proof of the general Brouwer fixed-point theorem and then obtain the existence of a smooth path which connects a given point to the fixed point. ...
In recent years, fixed-point theorems have attracted increasing attention and have been widely investigated by many authors. Moreover, determining a fixed point has become an interesting topic. ...
C20150027), and Innovation Scientists ...
doi:10.1155/2017/3456834
fatcat:622kz2hl2jhtfcqhchfxcxxcwu
Fermat and the number of fixed points of periodic flows
2015
Communications in Number Theory and Physics
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If the fixed point set is discrete, we also prove divisibility properties for the number of fixed points, improving similar statements obtained by Hirzebruch in 1999. ...
We compute explicit lower bounds for the number of fixed points of a circle action on a compact almost complex manifold M 2n with nonempty fixed point set, provided the Chern number c 1 c n−1 [M ] vanishes ...
Fermat and the number of fixed points of periodic flows 679 The result for even values of n then follows from Theorem A. ...
doi:10.4310/cntp.2015.v9.n4.a1
fatcat:ow7nja2gyjbwjllh3qgkagxqce
Amenable semigroups of nonexpansive mappings on weakly compact convex sets
[article]
2016
arXiv
pre-print
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We also extend the fixed point theorem of R. Hsu from left reversible discrete semigroups to left amenable semitopological semigroups in Banach spaces. ...
We show a few fixed point theorems for semigroups acting on weakly compact convex subsets of Banach spaces when LUC(S), AP(S), WAP(S) or WAP(S)∩ LUC(S) have a left invariant mean. ...
Moreover, we obtain the fixed point theorems for semigroups of nonexpansive mappings when LUC(S) or W AP (S) ∩ LUC(S) have a left invariant mean. ...
arXiv:1612.06270v1
fatcat:bwcs44izbbhm7lnbwndbynv5pa
The Baillon–Simons theorems
2005
Discrete Mathematics
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In this paper, we give combinatorial proofs of Baillon and Simons' almost fixed point and fixed point theorems for discrete-valued mappings (J. Combin. Theory Ser. A 60 (1992) 147-154). ...
Acknowlegdment The author would like to thank Graham Brightwell of London School of Economics and Michael B. ...
Smyth of Imperial College for many valuable suggestions which led to substantial improvements. ...
doi:10.1016/j.disc.2004.08.034
fatcat:qmq2d5zdy5cujdg7tiardoivjy
Remarks on best approximation in R-trees
2009
Annales Universitatis Mariae Curie-Sklodowska. Sectio A. Mathematica
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We also obtain a common best approximation theorem for a commuting pair of mappings t : X → Y and T : X → 2 Y where t is single-valued continuous and T is ε-semicontinuous. 2000 Mathematics Subject Classification ...
It is shown here that if T is an εsemicontinuous mapping whose values are nonempty closed convex subsets of Y, and if T has at least two distinct points of best approximation, then T must have a fixed ...
The research of the first author was supported in part by the Research Center for Nonlinear Analysis and Discrete Mathematics at the National Sun Yat-sen University. ...
doi:10.2478/v10062-009-0012-z
fatcat:i6bzxfmd6jgmbgge3763hzcdpi
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