2019-01-23T05:21:39Z
http://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=21
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Arens-irregularity of tensor product of Banach algebras
T.
Yazdanpanah
R.
Gharibi
We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arens<br />regular Banach algebras such that tensor product becomes irregular, where is tensor norm. We<br />illustrate injective tensor product, does not preserve bounded approximate identity and it is not<br />algebra norm.
2014
01
01
1
8
http://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
D.
Alimohammadi
F.
Nezamabadi
We study an interesting class of Banach function algebras of innitely dierentiable functions on<br />perfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, called<br />Lipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is a<br />perfect, compact plane set, M = fMng1n<br />=0 is a sequence of positive numbers such that M0 = 1 and<br />(m+n)!<br />Mm+n<br /> ( m!<br />Mm<br />)( n!<br />Mn<br />) for m; n 2 N [ f0g and 2 (0; 1]. Let d = lim sup( n!<br />Mn<br />)<br />1<br />n and Xd = fz 2 C :<br />dist(z;X) dg. Let LipP;d(X;M; )[LipR;d(X;M; )] be the subalgebra of all f 2 Lip(X;M; )<br />that can be approximated by the restriction to Xd of polynomials [rational functions with poles o<br />Xd]. We show that the maximal ideal space of LipP;d(X;M; ) is cXd, the polynomially convex hull<br />of Xd, and the maximal ideal space of LipR;d(X;M; ) is Xd, for certain compact plane sets.. Using<br />some formulae from combinatorial analysis, we nd the maximal ideal space of certain subalgebras<br />of Lipschitz algebras of innitely dierentiable functions.
2014
01
01
9
22
http://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Ternary (sigma,tau,xi)-derivations on Banach ternary algebras
M.
Eshaghi Gordji
F.
Farrokhzad
S.A.R.
Hosseinioun
Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.<br />Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary<br />(; ; )-derivation, if<br />D([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]X<br />for all x; y; z 2 A.<br />In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associated<br />with the following functional equation<br />f(<br />x + y + z<br />4<br />) + f(<br />3x y 4z<br />4<br />) + f(<br />4x + 3z<br />4<br />) = 2f(x) :<br />Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banach<br />ternary algebras.
2014
01
01
23
35
http://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Contractive maps in Mustafa-Sims metric spaces
M.
Turinici
The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal<br />[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms of<br />anticipative contractions over the associated (standard) metric space.
2014
01
01
36
53
http://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Tripled partially ordered sets
M.
Eshaghi
A.
Jabbari
S.
Mohseni
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially<br />ordered sets. Some basic properties on these new dened sets are studied and some examples for<br />clarifying are given.
2014
01
01
54
63
http://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
A fixed point result for a new class of set-valued contractions
A.
Sadeghi Hafjejani
A.
Amini Harandi
In this paper, we introduce a new class of set-valued contractions and obtain a xed point theorem<br />for such mappings in complete metric spaces. Our main result generalizes and improves many well-<br />known xed point theorems in the literature.
2014
01
01
64
70
http://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
On a more accurate multiple Hilbert-type inequality
Q.
Huang
B.
Yang
By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multiple<br />Hilbert-type inequality and the equivalent form are given. We also prove that the same constant<br />factor in the equivalent inequalities is the best possible.
2014
01
01
71
79
http://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
A multidimensional discrete Hilbert-type inequality
B.
Yang
In this paper, by using the way of weight coecients and technique of real analysis, a multidimensional<br />discrete Hilbert-type inequality with a best possible constant factor is given. The equivalent<br />form, the operator expression with the norm are considered.
2014
01
01
80
88
http://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
A companion of Ostrowski's inequality for functions of bounded variation and applications
S.S.
Dragomir
A companion of Ostrowski's inequality for functions of bounded variation and applications are given.
2014
01
01
89
97
http://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
1 (Special Issue)
Some new extensions of Hardy`s inequality
A.R.
Moazzen
R.
Lashkaripour
In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequality<br />in two and three dimensions
2014
01
01
98
109
http://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf