@article {
author = {Yazdanpanah, T. and Gharibi, R.},
title = {Arens-irregularity of tensor product of Banach algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {1-8},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.110},
abstract = {We introduce Banach algebras arising from tensor norms. By these Banach algebras, we make Arens regular Banach algebras such that $\alpha$ the tensor product becomes irregular, where $\alpha$ is tensor norm. We illustrate injective tensor product, does not preserve bounded approximate identity and it is not algebra norm.},
keywords = {Arens products,Arens regularity,compact operators,approximable operators,nuclear operators,tensor norm,approximate identity,approximation property},
url = {https://ijnaa.semnan.ac.ir/article_110.html},
eprint = {https://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf}
}
@article {
author = {Alimohammadi, D. and Nezamabadi, F.},
title = {Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {9-22},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.111},
abstract = {We study an interesting class of Banach function algebras of infinitely differentiable functions on perfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, called Lipschitz algebras of infinitely differentiable functions and denoted by $Lip(X,M, \alpha)$, where $X$ is a perfect, compact plane set, $M =\{M_n\}_{n=0}^\infty$ is a sequence of positive numbers such that $M_0 = 1$ and $\frac{(m+n)!}{M_{m+n}}\leq(\frac{m!}{M_m})(\frac{n!}{M_n})$, for $m, n \in\mathbb{N} \cup\{0\}$ and $\alpha\in (0, 1]$. Let $d =\lim \sup(\frac{n!}{M_n})^{\frac{1}{n}}$ and $X_d =\{z \in\mathbb{C} : dist(z,X)\leq d\}$. Let $Lip_{P,d}(X,M, \alpha)$ [$Lip_{R,d}(X,M \alpha)$] be the subalgebra of all $f \in Lip(X,M,\alpha)$ that can be approximated by the restriction to $X_d$ of polynomials [rational functions with poles $X_d$]. We show that the maximal ideal space of $Lip_{P,d}(X,M, \alpha)$ is $\widehat{X_d}$, the polynomially convex hull of $X_d$, and the maximal ideal space of $Lip_{R,d}(X,M \alpha)$ is $X_d$, for certain compact plane sets. Using some formulae from combinatorial analysis, we find the maximal ideal space of certain subalgebras of Lipschitz algebras of infinitely differentiable functions.},
keywords = {Infinitely differentiable functions,Function algebra,Lipschitz algebra,Maximal ideal space,Star-shaped set,Uniformly regular},
url = {https://ijnaa.semnan.ac.ir/article_111.html},
eprint = {https://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf}
}
@article {
author = {Eshaghi Gordji, M. and Farrokhzad, F. and Hosseinioun, S.A.R.},
title = {Ternary $(\sigma,\tau,\xi)$-derivations on Banach ternary algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {23-35},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.112},
abstract = {Let $A$ be a Banach ternary algebra over a scalar field $\mathbb{R}$ or $\mathbb{C}$ and $X$ be a Banach ternary $A$-module. Let $\sigma, \tau$ and $\xi$ be linear mappings on $A$, a linear mapping $D : (A,[ ]_A) \to (X, [ ]_X)$ is called a ternary $(\sigma,\tau,\xi)$-derivation, if$$D([xyz]_A) = [D(x)\tau(y)\xi(z)]_X + [\sigma(x)D(y)\xi(z)]_X + [\sigma(x)\tau(y)D(z)]_X$$for all $x,y, z \in A$. In this paper, we investigate ternary $(\sigma,\tau,\xi)$-derivation on Banach ternary algebras, associated with the following functional equation$$f(\frac{x + y + z}{4}) + f(\frac{3x - y - 4z}{4}) + f(\frac{4x + 3z}{4}) = 2f(x).$$Moreover, we prove the generalized Ulam-Hyers stability of ternary $(\sigma,\tau,\xi)$-derivations on Banach ternary algebras.},
keywords = {Banach ternary algebra,Banach ternary $A$-module,Ternary $(sigma,tau,xi)$-derivation},
url = {https://ijnaa.semnan.ac.ir/article_112.html},
eprint = {https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf}
}
@article {
author = {Turinici, M.},
title = {Contractive maps in Mustafa-Sims metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {36-53},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.113},
abstract = {The fixed point results in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal [Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms of anticipative contractions over the associated (standard) metric space.},
keywords = {metric space,globally strong Picard operator,functional anticipative contraction,Dhage and Mustafa-Sims metric,convergent and Cauchy sequence,strong triangle inequality},
url = {https://ijnaa.semnan.ac.ir/article_113.html},
eprint = {https://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf}
}
@article {
author = {Eshaghi, M. and Jabbari, A. and Mohseni, S.},
title = {Tripled partially ordered sets},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {54-63},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.114},
abstract = {In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially ordered sets. Some basic properties on these new defined sets are studied and some examples for clarifying are given.},
keywords = {partially ordered set,upper bound,Lower bound,monotone function},
url = {https://ijnaa.semnan.ac.ir/article_114.html},
eprint = {https://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf}
}
@article {
author = {Sadeghi Hafjejani, A. and Amini Harandi, A.},
title = {A fixed point result for a new class of set-valued contractions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {64-70},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.115},
abstract = {In this paper, we introduce a new class of set-valued contractions and obtain a fixed point theorem for such mappings in complete metric spaces. Our main result generalizes and improves many well-known fixed point theorems in the literature.},
keywords = {Fixed point,Set-valued contraction},
url = {https://ijnaa.semnan.ac.ir/article_115.html},
eprint = {https://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf}
}
@article {
author = {Huang, Q. and Yang, B.},
title = {On a more accurate multiple Hilbert-type inequality},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {71-79},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.116},
abstract = {By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multiple Hilbert-type inequality and the equivalent form are given. We also prove that the same constant factor in the equivalent inequalities is the best possible.},
keywords = {Multiple Hilbert-Type Inequality,weight coefficient,Euler-Maclaurin’s Summation Formula},
url = {https://ijnaa.semnan.ac.ir/article_116.html},
eprint = {https://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf}
}
@article {
author = {Yang, B.},
title = {A multidimensional discrete Hilbert-type inequality},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {80-88},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.117},
abstract = {In this paper, by using the way of weight coefficients and technique of real analysis, a multidimensional discrete Hilbert-type inequality with the best possible constant factor is given. The equivalent form, the operator expression with the norm are considered.},
keywords = {Hilbert’s Inequality,weight coefficient,equivalent form,operator,norm},
url = {https://ijnaa.semnan.ac.ir/article_117.html},
eprint = {https://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf}
}
@article {
author = {Dragomir, S.S.},
title = {A companion of Ostrowski's inequality for functions of bounded variation and applications},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {89-97},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.118},
abstract = {A companion of Ostrowski's inequality for functions of bounded variation and applications are given.},
keywords = {Ostrowski’s Inequality,Trapezoid Rule,Midpoint Rule},
url = {https://ijnaa.semnan.ac.ir/article_118.html},
eprint = {https://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf}
}
@article {
author = {Moazzen, A.R. and Lashkaripour, R.},
title = {Some new extensions of Hardy`s inequality},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {98-109},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.119},
abstract = {In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequality in two and three dimensions},
keywords = {Hardy‘s inequality,Integral inequality,Riemann-Lioville integral},
url = {https://ijnaa.semnan.ac.ir/article_119.html},
eprint = {https://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf}
}