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