Báo cáo hóa học: " New inequalities of hermite-hadamard type for convex functions with applications" pptx
Báo cáo hóa học: " New inequalities of hermite-hadamard type for convex functions with applications" pptx
... 2011:86
http://www.journalofinequalitiesandapplications.com/content/2011/1/86
Page 2 of 11
RESEARCH Open Access
New inequalities of hermite-hadamard type for
convex functions with applications
Havva ... Department of
Mathematics, 25240, Campus,
Erzurum, Turkey
Abstract
In this paper, some new inequalities of the Hermite-Hadamard type for functions
whose mod...
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projection, I) Air jets.
Close up of experimental apparatus with foam forearm sta-
bilization and straps in place
Figure 2 Close up of experimental apparatus with foam forearm
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... (X)
the family of all nonempty subsets of
X, C(X)
the family of all
nonempty closed subsets of X and
CB(X)
the class of all nonempty closed bounded
subsets of X, respectively.
For any
A, B ∈ ... establish some new fixed point theorems for
M
T
-functions.
By using these results, we can obtain some generalizations of Kannan’s fixed point
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... 4.7. With respect to η,letF be invex Lipschitz continuous with constant L,
and SGIM with modulus β on K.Thenwiththesameη, F is invex cocoercive with modulus
β/L
2
on K.
Proof. This is straightforward ... sequence of C and F(x
k
) asequencein
n
such that lim
k→∞
F(x
k
),η(x
k
,x
∗
)=0 for
some solution x
∗
of VI(F,η,C).Thenanylimitpoint
¯
x of {x
k
} is a solution of VI(F,...
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... on
the convex hulls of any N
∈D; see Lassonde [5]andPark[7]. If X = D is convex, then
X = (X,X) becomes a convex space in the sense of Lassonde [4].
The following version of the KKM theorem for convex ... (I) of Theorem 3.1.
In fact, for each x ∈ X,foreachz ∈
m∈N(x)
U(x
m
), and for each j ∈{i
1
,i
2
, ,i
k
},
y(x)
= (y
j
)
j∈I
is an element of Φ(z) since, for eac...
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