2022-05-28T17:19:10Z https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=21
2014-01-01 10.22075
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 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. Arens products Arens regularity compact operators approximable operators nuclear operators tensor norm approximate identity approximation property 2014 01 01 1 8 https://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf
2014-01-01 10.22075
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 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. Infinitely differentiable functions Function algebra Lipschitz algebra Maximal ideal space Star-shaped set Uniformly regular 2014 01 01 9 22 https://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf
2014-01-01 10.22075
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 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. Banach ternary algebra Banach ternary $A$-module Ternary $(sigma,tau,xi)$-derivation 2014 01 01 23 35 https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf
2014-01-01 10.22075
International Journal of Nonlinear Analysis and Applications IJNAA 2014 5 1 (Special Issue) Contractive maps in Mustafa-Sims metric spaces M. Turinici 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. metric space globally strong Picard operator functional anticipative contraction Dhage and Mustafa-Sims metric convergent and Cauchy sequence strong triangle inequality 2014 01 01 36 53 https://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf
2014-01-01 10.22075
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 ordered sets. Some basic properties on these new defined sets are studied and some examples for clarifying are given. partially ordered set upper bound Lower bound monotone function 2014 01 01 54 63 https://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf
2014-01-01 10.22075
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 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. Fixed point Set-valued contraction 2014 01 01 64 70 https://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf
2014-01-01 10.22075
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 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. Multiple Hilbert-Type Inequality weight coefficient Euler-Maclaurin’s Summation Formula 2014 01 01 71 79 https://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf
2014-01-01 10.22075
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 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. Hilbert’s Inequality weight coefficient equivalent form operator norm 2014 01 01 80 88 https://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf
2014-01-01 10.22075
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. Ostrowski’s Inequality Trapezoid Rule Midpoint Rule 2014 01 01 89 97 https://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf
2014-01-01 10.22075
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 in two and three dimensions Hardy‘s inequality Integral inequality Riemann-Lioville integral 2014 01 01 98 109 https://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf