Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
On the maximal ideal space of extended polynomial and rational uniform algebras
1
12
EN
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
T. G.
Honary
Faculty of Mathematical Sciences and Computer Engineering, Teacher Train-
ing University, 599 Taleghani Avenue, Tehran, 15618, I.R. Iran.
D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
10.22075/ijnaa.2012.32
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
http://ijnaa.semnan.ac.ir/article_32.html
http://ijnaa.semnan.ac.ir/article_32_ded7ad00ddc06fb990aa09ff3ab151bd.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications
13
23
EN
B. D.
Pant
Government Degree College, Champawat, 262523, Uttarakhand, India.
S.
Chauhan
R. H. Government Postgraduate College, Kashipur, 244713, (U. S. Nagar),
Uttarakhand, India.
10.22075/ijnaa.2012.34
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
http://ijnaa.semnan.ac.ir/article_34.html
http://ijnaa.semnan.ac.ir/article_34_016d0cc127099f39b280fa0de564b210.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Generalization of Titchmarsh's Theorem for the Dunkl transform
24
30
EN
M.
El Hamma
Department of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, Morocco
R.
Daher
Department of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, Morocco
A.
El Houasni
Department of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, Morocco
A.
Khadari
Department of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, Morocco
10.22075/ijnaa.2012.36
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
http://ijnaa.semnan.ac.ir/article_36.html
http://ijnaa.semnan.ac.ir/article_36_9427900803b7cbbfe2f444c6f482eabb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
New iterative methods with seventh-order convergence for solving nonlinear equations
31
37
EN
M.
Fardi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Na-
jafabad, Iran.
M.
Ghasemi
Department of Applied Mathematics, Faculty of Science, Shahrekord Univer-
sity, Shahrekord, P. O. Box 115, Iran.
A.
Davari
Department of Mathematics, University of Isfahan, Isfahan, Iran.
10.22075/ijnaa.2012.39
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
http://ijnaa.semnan.ac.ir/article_39.html
http://ijnaa.semnan.ac.ir/article_39_2cfe2327e8cdbf5111d44e9fdaca81e4.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Equivalence of K-functionals and modulus of smoothness for fourier transform
38
43
EN
R.
Daher
Department of Mathematics, Faculty of Science An Chock, University Hassan
II, Casablanca, Morocco
M.
El Hamma
Department of Mathematics, Faculty of Science An Chock, University Hassan
II, Casablanca, Morocco
10.22075/ijnaa.2012.40
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
http://ijnaa.semnan.ac.ir/article_40.html
http://ijnaa.semnan.ac.ir/article_40_c81d23487ce3f62b66f897bddd94f41d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
The convexity of the integral operator on the class of the integral operator on the class B(mu,alpha)
44
48
EN
L.
Stanciu
Department of Mathematics, T^argul din Vale Str., No.1, 110040, Pitesti, Arges,
Rom^ania.
D.
Breaz
Department of Mathematics, Alba Iulia, Str. N. Iorga, 510000, No. 11-13,
Rom^ania.
10.22075/ijnaa.2012.41
In this paper, we study the convexity of the integral operator
Analytic functions,Integral Operator,Starlike functions,Convex func-
tions
http://ijnaa.semnan.ac.ir/article_41.html
http://ijnaa.semnan.ac.ir/article_41_84f077cf108eac44a9ad2244e5db809c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces
49
58
EN
P.
Cholamjiak
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, Thailand
S.
Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, Thailand
10.22075/ijnaa.2012.43
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
http://ijnaa.semnan.ac.ir/article_43.html
http://ijnaa.semnan.ac.ir/article_43_46906f1a1341c289e94eeac745208e92.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Some results on maximal open sets
59
66
EN
M.
Roohi
Department of Mathematics, Faculty of Sciences, Golestan University,, P.O.Box.
155, Gorgan, Iran.
M.
Rostamian Delavar
Young Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran.
S.
Mohammadzadeh
Islamic Azad University-Babol Branch, Babol, Iran.
10.22075/ijnaa.2012.44
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
http://ijnaa.semnan.ac.ir/article_44.html
http://ijnaa.semnan.ac.ir/article_44_98b9534f8bd00671e1f9f9f07bf2b953.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Solution and stability of Tribonacci functional
equation in non-Archimedean Banach spaces
67
74
EN
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
M.
Naderi Parizi
Payame Noor University, Rafsanjan, Iran.
Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Greece.
10.22075/ijnaa.2012.54
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
http://ijnaa.semnan.ac.ir/article_54.html
http://ijnaa.semnan.ac.ir/article_54_934b686783b476e9459b12a92c9ed19d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
2
2012
06
01
Approximate additive and quadratic mappings in 2-Banach spaces and related topics
75
81
EN
Y. J.
Cho
Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea.
C.
Park
Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea.
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
10.22075/ijnaa.2012.55
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
http://ijnaa.semnan.ac.ir/article_55.html
http://ijnaa.semnan.ac.ir/article_55_27dbad8d0aa4f90c342927098fa87f62.pdf