Báo cáo hóa học: " FIXED POINTS, STABILITY, AND HARMLESS PERTURBATIONS" pdf
Báo cáo hóa học: " FIXED POINTS, STABILITY, AND HARMLESS PERTURBATIONS" pdf
... (3.2), and (3.15)hold,theneverysolutionof(2.2)isbounded.If,in
addition, (3.3) holds, then every solution tends to zero as t
→∞.
42 Fixed points, stability, and harmless perturbations
and there ... e
−
t
0
a(s)ds
0
−L
p(s)
0
s
g
ψ(u)
duds
−
t
0
e
−
t
v
a(s)ds
a(v)
0
−L
p(s)
v
v+s
g
φ(u)
dudsdv.
(3.12)
FIXED POINTS, STABILITY, AND HARMLESS
PERTURBAT...
Báo cáo hóa học: "Research Article Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme" pot
... Fixed
Point Theory and Applications, vol. 2008, Article ID 406368, 8 pages, 2008.
3 C. Chen and C. Zhu, Fixed point theorems for n times reasonable expansive mapping,” Fixed Point
Theory and ... β
k
x
k
sgn e
k
, and equivalently, if 1 − β
k
|e
k
|≤
2|x
k
| and e
k
x
k
x
k
− z
k
x
k
≥ 0withe
k
/
0, and
x
2
k1
− x
2
k
0ife
k
x
k
− z
k
0. 2.4
Fixed Point Th...
Báo cáo hóa học: " FIXED POINTS AND CONTROLLABILITY IN DELAY SYSTEMS" potx
... G
´
orniewicz and Nistri [8], and references therein.
Hindawi Publishing Corporation
Fixed Point Theory and Applications
Volume 2006, Article ID 41480, Pages 1–14
DOI 10.1155/FPTA/2006/41480
2 Fixed ... (3.17)
6 Fixed points and controllability in delay systems
3. Examples and remarks
In this section, we give several examples to illustrate how to apply Theorem 2.3 to some
spec...
Báo cáo hóa học: " FIXED POINTS AND COINCIDENCE POINTS FOR MULTIMAPS WITH NOT NECESSARILY BOUNDED IMAGES" pdf
... <s<min{(ab)
−1/(b−1)
,s
0
}.
232 Fixed points and coincidence points
for x, y in X, inequalities (3.4 )and( 3.5) are true. Then {Sx : x ∈ X and Sx ∈ Fx} and
{Tx : x ∈ X and Tx ∈ Gx} are nonempty and equal, provided ... X. Then {Sx : x ∈ X and Sx ∈
Fx} and {Tx : x ∈ X and Tx ∈ Gx} are nonempty, closed sets and are equal.
Proof. Let A={Sx : x ∈ X and Sx ∈ Fx} and...
Báo cáo hóa học: " FIXED POINTS, PERIODIC POINTS, AND COIN-TOSSING SEQUENCES FOR MAPPINGS DEFINED ON TWO-DIMENSIONAL CELLS" docx
... ψ(Ᏸ) ⊆ Ꮾ.However,wedohave
ψ() ⊆ Ꮾ.
FIXED POINTS, PERIODIC POINTS, AND COIN-TOSSING
SEQUENCES FOR MAPPINGS DEFINED
ON TWO-DIMENSIONAL CELLS
DUCCIO PAPINI AND FABIO ZANOLIN
Received 12 January ... Ꮾ
−
1
and our claim is proved.
We are now in position to apply a result already obtained in [43] and statements (a
1
),
(a
2
), and (a
3
), respectively, follow from statements (e
1
)...
Báo cáo hóa học: " Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces" doc
... be two nonexpansive mappings, and we modified (1.3) and (1.4) as fol-
lows:
Lin et al. Fixed Point Theory and Applications 2011, 2011:49
http://www.fixedpointtheoryandapplications.com/content/2011/1/49
Page ... inf
n
→
∞
α
n
(1 − α
n
) > 0
and
lim inf
n
→
∞
β
n
(1 − β
n
) >
0
.
Lin et al. Fixed Point Theory and Applications 2011, 2011:49
http://www.fixedpointtheoryandappli...
Báo cáo hóa học: "FIXED POINT INDICES AND MANIFOLDS WITH COLLARS CHEN-FARNG BENJAMIN AND DANIEL HENRY " potx
... Point Indices and Transfers, and Path Fields” and it contains, in addition to the
contents of this manuscript, a formula analogous to (1.1), which relates to Dold’s fixed
point transfers and a study ... 118
(1965), 180–191.
[4]
, The Lefschetz Fixed Point Theorem, Scott, Foresman, Illinois, 1971.
6 Fixed point indices and manifolds with collars
Equations (3.10 )and( 3.12)withr re...
Báo cáo hóa học: " FIXED POINTS AS NASH EQUILIBRIA" doc
... convex, and compact}.
3. Main Results
Consider the following statements.
[Nash-1]. Given Ᏻ
={I,S
i
,v
i
}, suppose that each set S
i
∈ Ᏼ and that objective functions
are continuous in its domains and ... nonempty, convex, and compact set X
⊂ R
m
and a continuous function
f : X
→ X, consider a game Ᏻ with two players I ={A,B}, which are characterized by the
sets of stra tegies S
A
=...
Báo cáo hóa học: " FIXED POINTS OF CONDENSING MULTIVALUED MAPS IN TOPOLOGICAL VECTOR SPACES" pot
... 108 Fixed points of condensing maps
For a subset K of a topological vector space E, the closure, the convex hull, and the
closed convex hull of K in E are denoted by K,coK,andcoK, respectively. ... two topological spaces X and Y, an upper semicontinuous map
F : X → k(Y)issaidtobeadmissible if there exist a topological space Z and continuous
functions p : Z → X and q : Z → Y with the...
Báo cáo hóa học: " FIXED POINTS OF MULTIMAPS WHICH ARE NOT NECESSARILY NONEXPANSIVE" pdf
... Shahzad and A. Lone 171
Note that
∆
X,α
() ≤∆
X,χ
() (2.8)
and so
α
(X) ≥
χ
(X). (2.9)
Let C be a nonempty subset of X, Ᏸ adirectedset ,and{ x
α
: α ∈ Ᏸ} a bounded net in
X.Weuser(C, {x
α
})andA(C,{x
α
}) ... instance, the works of Benavides and
Ram
´
ırez [2], Kirk and Massa [6], Lami Dozo [7], Lim [8], Markin [10], Xu [12], and
the references therein. Recently, Benavides and...