2022-05-28T18:13:09Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=13
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
On the maximal ideal space of extended polynomial and rational uniform algebras
S.
Moradi
T. G.
Honary
D.
Alimohammadi
Let $K$ and $X$ be compact plane sets such that $K\subseteq X$. Let $P(K)$ be the uniform closure of polynomials on $K$. Let $R(K)$ be the closure of rational functions K with poles off $K$. Define $P(X,K)$ and $R(X,K)$ to be the uniform algebras of functions in $C(X)$ whose restriction to $K$ belongs to $P(K)$ and $R(K)$, respectively. Let $CZ(X,K)$ be the Banach algebra of functions $f$ in $C(X)$ such that $f|_K = 0$. In this paper, we show that every nonzero complex homomorphism' on $CZ(X,K)$ is an evaluation homomorphism $e_z$ for some $z$ in $X\setminus K$. By considering this fact, we characterize the maximal ideal space of the uniform algebra $P(X,K)$. Moreover, we show that the uniform algebra $R(X,K)$ is natural.
Maximal ideal space
uniform algebras
nonzero complex homomorphism
2012
06
01
1
12
https://ijnaa.semnan.ac.ir/article_32_ded7ad00ddc06fb990aa09ff3ab151bd.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications
B. D.
Pant
S.
Chauhan
In 2008, Al-Thagafi and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876] introduced the notion of occasionally weakly compatible mappings (shortly owc maps) which is more general than all the commutativity concepts. In the present paper, we prove common fixed point theorems for families of owc maps in Menger spaces. As applications to our results, we obtain the corresponding fixed point theorems in fuzzy metric spaces. Our results improve and extend the results of Kohli and Vashistha [Common fixed point theorems in probabilistic metric spaces, Acta Math. Hungar. 115(1-2) (2007), 37-47], Vasuki [Common fixed points for R-weakly commuting maps in fuzzy metric spaces, Indian J. Pure Appl. Math. 30 (1999), 419{423], Chugh and Kumar [Common fixed point theorem in fuzzy metric spaces, Bull. Cal. Math. Soc. 94 (2002), 17{22] and Imdad and Ali [Some common fixed point theorems in fuzzy metric spaces, Math. Commun. 11(2) (2006), 153-163].
Triangle norm (t-norm)
Menger space
Fuzzy metric space
Occasionally weakly compatible mappings
Fixed point
2012
06
01
13
23
https://ijnaa.semnan.ac.ir/article_34_016d0cc127099f39b280fa0de564b210.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Generalization of Titchmarsh's Theorem for the Dunkl transform
M.
El Hamma
R.
Daher
A.
El Houasni
A.
Khadari
Using a generalized spherical mean operator, we obtain the generalizationof Titchmarsh's theorem for the Dunkl transform for functions satisfyingthe Lipschitz condition in L2(Rd;wk), where wk is a weight function invariantunder the action of an associated reection groups.
Dunkl operator
Dunkl transform
generalized spherical mean operator
2012
06
01
24
30
https://ijnaa.semnan.ac.ir/article_36_9427900803b7cbbfe2f444c6f482eabb.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
New iterative methods with seventh-order convergence for solving nonlinear equations
M.
Fardi
M.
Ghasemi
A.
Davari
In this paper, seventh-order iterative methods for the solution ofnonlinear equations are presented. The new iterative methods are developed byusing weight function method and using an approximation for the last derivative,which reduces the required number of functional evaluations per step. Severalexamples are given to illustrate the eciency and the performance of the newiterative methods.
Iterative methods
Fourth order
Seventh order
Newton
convergence
Nonlinear
2012
06
01
31
37
https://ijnaa.semnan.ac.ir/article_39_2cfe2327e8cdbf5111d44e9fdaca81e4.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Equivalence of $K$-functionals and modulus of smoothness for Fourier transform
R.
Daher
M.
El Hamma
In Hilbert space $L^2(\mathbb{R}^n)$, we prove the equivalence between the modulus of smoothness and the $K$-functionals constructed by the Sobolev space corresponding to the Fourier transform. For this purpose, using a spherical mean operator.
Fourier Transform
spherical mean operator
K-functionals
modulus of smoothness
2012
06
01
38
43
https://ijnaa.semnan.ac.ir/article_40_c81d23487ce3f62b66f897bddd94f41d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
The convexity of the integral operator on the class of $B(mu,alpha)$
L.
Stanciu
D.
Breaz
In this paper, we study the convexity of the integral operator $\int_0^z\prod_{i=1}^n(te^{f_i(t)})^{\gamma_i}dt$ where the function $f_i, i\in\{1,2,\ldots,n\}$ satisfy the condition
$$|f_i'(z)(\frac{z}{f_i(z)})^{\mu_i}-1|<1-\alpha_i,\quad i\in\{1,2,\ldots,n\}.$$
Analytic functions
Integral Operator
Starlike functions
Convex functions
2012
06
01
44
48
https://ijnaa.semnan.ac.ir/article_41_84f077cf108eac44a9ad2244e5db809c.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces
P.
Cholamjiak
S.
Suantai
We introduce a new iterative scheme for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space setting. Strong convergence theorems of the proposed iterative scheme are also established by the generalized projection method. Our results generalize the corresponding results in the literature.
Generalized mixed equilibrium problem
nonexpansive mappings
Common fixed point
strong convergence
Generalized projection
2012
06
01
49
58
https://ijnaa.semnan.ac.ir/article_43_46906f1a1341c289e94eeac745208e92.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Some results on maximal open sets
M.
Roohi
M.
Rostamian Delavar
S.
Mohammadzadeh
In this paper, the notion of maximal m-open set is introduced and its properties are investigated. Some results about existence of maximal m-open sets are given. Moreover, the relations between maximal m-open sets in an m-space and maximal open sets in the corresponding generated topology are considered. Our results are supported by examples and counterexamples.
Small topology
minimal structure
maximal open set
conite subset
generated topology
2012
06
01
59
66
https://ijnaa.semnan.ac.ir/article_44_98b9534f8bd00671e1f9f9f07bf2b953.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces
M.
Eshaghi Gordji
M.
Naderi Parizi
Th. M.
Rassias
In this paper, we prove Hyers{Ulam stability of Tribonacci functional equation$$f(x) = f(x - 1) + f(x - 2) + f(x - 3)$$in the class of functions $f : \mathbb{R} \to X$ where $X$ is a real non-Archimedean Banach space.
Hyers Ulam Stability
Real Non-Archimedean Banach Space
Tribonacci Functional Equation
2012
06
01
67
74
https://ijnaa.semnan.ac.ir/article_54_934b686783b476e9459b12a92c9ed19d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
2
Approximate additive and quadratic mappings in 2-Banach spaces and related topics
Y. J.
Cho
C.
Park
M.
Eshaghi Gordji
Won-Gil Park [Won-Gil Park, J. Math. Anal. Appl., 376 (1) (2011) 193{202] proved the Hyers-Ulam stability of the Cauchy functional equation, the Jensen functional equation and the quadratic functional equation in 2-Banach spaces. One can easily see that all results of this paper are incorrect. Hence the control functions in all theorems of this paper are not correct. In this paper, we correct these results.
Hyers-Ulam stability
Cauchy Functional Equation
Jensen Functional Equation
quadratic functional equation
2012
06
01
75
81
https://ijnaa.semnan.ac.ir/article_55_27dbad8d0aa4f90c342927098fa87f62.pdf