2018-02-24T15:34:49Z
http://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 X. Let P(K)be the uniform closure of polynomials on K. Let R(K) be the closure of rationalfunctions K with poles o K. Dene P(X;K) and R(X;K) to be the uniformalgebras 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) suchthat fjK = 0. In this paper, we show that every nonzero complex homomorphism' on CZ(X;K) is an evaluation homomorphism ez for some z in XnK. By con-sidering this fact, we characterize the maximal ideal space of the uniform algebraP(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
http://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-Thaga 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 owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to our results, we obtain the corresponding xed pointtheorems in fuzzy metric spaces. Our results improve and extend the results ofKohli and Vashistha [Common xed point theorems in probabilistic metric spaces,Acta Math. Hungar. 115(1-2) (2007), 37-47], Vasuki [Common xed points forR-weakly commuting maps in fuzzy metric spaces, Indian J. Pure Appl. Math.30 (1999), 419{423], Chugh and Kumar [Common xed point theorem in fuzzymetric spaces, Bull. Cal. Math. Soc. 94 (2002), 17{22] and Imdad and Ali [Somecommon xed 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
http://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
http://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
http://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 L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.
Fourier transform
spherical mean operator
K-functionals
modulus of
smoothness
2012
06
01
38
43
http://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 the integral operator on the class B(mu,alpha)
L.
Stanciu
D.
Breaz
In this paper, we study the convexity of the integral operator
Analytic functions
Integral Operator
Starlike functions
Convex func-
tions
2012
06
01
44
48
http://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 nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results in the literature.
Generalized mixed equilibrium problem
nonexpansive mappings
Com-
mon xed point
strong convergence
Generalized projection
2012
06
01
49
58
http://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 itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand 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
http://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 equationf(x) = f(x 1) + f(x 2) + f(x 3)in the class of functions f : R ! 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
http://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 quadraticfunctional 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 correctthese results.
Hyers{Ulam Stability
Cauchy Functional Equation
Jensen Functional Equation
quadratic functional equation
2012
06
01
75
81
http://ijnaa.semnan.ac.ir/article_55_27dbad8d0aa4f90c342927098fa87f62.pdf