Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601On the maximal ideal space of extended polynomial and rational uniform algebras1123210.22075/ijnaa.2012.32ENS.MoradiDepartment of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.T. G.HonaryFaculty of Mathematical Sciences and Computer Engineering, Teacher Train-
ing University, 599 Taleghani Avenue, Tehran, 15618, I.R. Iran.D.AlimohammadiDepartment of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.Journal Article20110629Let $K$ 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.https://ijnaa.semnan.ac.ir/article_32_ded7ad00ddc06fb990aa09ff3ab151bd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications13233410.22075/ijnaa.2012.34ENB. D.PantGovernment Degree College, Champawat, 262523, Uttarakhand, IndiaS.ChauhanR. H. Government Postgraduate College, Kashipur, 244713, (U. S. Nagar), Uttarakhand, IndiaJournal Article20110630In 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].https://ijnaa.semnan.ac.ir/article_34_016d0cc127099f39b280fa0de564b210.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Generalization of Titchmarsh's Theorem for the Dunkl transform24303610.22075/ijnaa.2012.36ENM.El HammaDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoR.DaherDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoA.El HouasniDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoA.KhadariDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoJournal Article20120101Using a generalized spherical mean operator, we obtain the generalization<br />of Titchmarsh's theorem for the Dunkl transform for functions satisfying<br />the Lipschitz condition in L2(Rd;wk), where wk is a weight function invariant<br />under the action of an associated re<br />ection groups.https://ijnaa.semnan.ac.ir/article_36_9427900803b7cbbfe2f444c6f482eabb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601New iterative methods with seventh-order convergence for solving nonlinear equations31373910.22075/ijnaa.2012.39ENM.FardiDepartment of Mathematics, Islamic Azad University, Najafabad Branch, Na-
jafabad, Iran.M.GhasemiDepartment of Applied Mathematics, Faculty of Science, Shahrekord Univer-
sity, Shahrekord, P. O. Box 115, Iran.A.DavariDepartment of Mathematics, University of Isfahan, Isfahan, Iran.Journal Article20110603In this paper, seventh-order iterative methods for the solution of<br />nonlinear equations are presented. The new iterative methods are developed by<br />using weight function method and using an approximation for the last derivative,<br />which reduces the required number of functional evaluations per step. Several<br />examples are given to illustrate the eciency and the performance of the new<br />iterative methods.https://ijnaa.semnan.ac.ir/article_39_2cfe2327e8cdbf5111d44e9fdaca81e4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Equivalence of $K$-functionals and modulus of smoothness for Fourier transform38434010.22075/ijnaa.2012.40ENR.DaherDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, MoroccoM.El HammaDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, MoroccoJournal Article20110903In 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.https://ijnaa.semnan.ac.ir/article_40_c81d23487ce3f62b66f897bddd94f41d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601The convexity of the integral operator on the class of $B(\mu,\alpha)$44484110.22075/ijnaa.2012.41ENL.StanciuDepartment of Mathematics, Targul din Vale Str., No.1, 110040, Pitesti, Arges, RomaniaD.BreazDepartment of Mathematics, Alba Iulia, Str. N. Iorga, 510000, No. 11-13,
RomaniaJournal Article20111003In 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
$$|f_i'(z)(\frac{z}{f_i(z)})^{\mu_i}-1|<1-\alpha_i,\quad i\in\{1,2,\ldots,n\}.$$https://ijnaa.semnan.ac.ir/article_41_84f077cf108eac44a9ad2244e5db809c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces49584310.22075/ijnaa.2012.43ENP.CholamjiakDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, ThailandS.SuantaiDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, ThailandJournal Article20110204We 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.https://ijnaa.semnan.ac.ir/article_43_46906f1a1341c289e94eeac745208e92.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Some results on maximal open sets59664410.22075/ijnaa.2012.44ENM.RoohiDepartment of Mathematics, Faculty of Sciences, Golestan University,, P.O.Box.
155, Gorgan, Iran.M.Rostamian DelavarYoung Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran.S.MohammadzadehIslamic Azad University-Babol Branch, Babol, Iran.Journal Article20120204In 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.https://ijnaa.semnan.ac.ir/article_44_98b9534f8bd00671e1f9f9f07bf2b953.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces67745410.22075/ijnaa.2012.54ENM.Eshaghi GordjiDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.M.Naderi PariziPayame Noor University, Rafsanjan, Iran.Th. M.RassiasDepartment of Mathematics, National Technical University of Athens, GreeceJournal Article20120115In this paper, we prove Hyers{Ulam stability of Tribonacci functional equation<br />$$f(x) = f(x - 1) + f(x - 2) + f(x - 3)$$<br />in the class of functions $f : \mathbb{R} \to X$ where $X$ is a real non-Archimedean Banach space.https://ijnaa.semnan.ac.ir/article_54_934b686783b476e9459b12a92c9ed19d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Approximate additive and quadratic mappings in 2-Banach spaces and related topics75815510.22075/ijnaa.2012.55ENY. J.ChoDepartment of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, KoreaC.ParkResearch Institute for Natural Sciences, Hanyang University, Seoul 133-791, KoreaM.Eshaghi GordjiDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.Journal Article20120907Won-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.https://ijnaa.semnan.ac.ir/article_55_27dbad8d0aa4f90c342927098fa87f62.pdf