Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay164710.22075/ijnaa.2011.47ENJ. R.MoralesDepartamento de Matematicas, Universidad de Los Andes, Merida, VenezuelaE. M.RojasDepartamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colombia.Journal Article20110406In this paper, we are going to study the Hyers-Ulam-Rassias types of stability for nonlinear, nonhomogeneous Volterra integral equations with delay on finite intervals.https://ijnaa.semnan.ac.ir/article_47_7fd8f693b5d94a2551e2b82f27c91bf7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Two common fixed Point theorems for compatible mappings7185210.22075/ijnaa.2011.52ENA.RazaniDepartment of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran.M.YazdiDepartment of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran.Journal Article20110303Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory for generalized $varphi$-weak contractions, Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two maps satisfying generalized $\varphi$-weak contractions. In this paper, we prove a common fixed point theorem for a family of compatible maps. In fact, a new generalization of Zhang and Song's theorem is given.https://ijnaa.semnan.ac.ir/article_52_df6e4b461764631205c5fc39343adf56.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201New inequalities for a class of differentiable functions19238910.22075/ijnaa.2011.89ENZ.DahmaniLaboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, AlgeriaJournal Article20110804In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities related to Chebyshev's functional in the case of two differentiable functions.https://ijnaa.semnan.ac.ir/article_89_5b6298d52740d7db0485f5512b6c49dd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201On the nature of solutions of the difference equation $\mathbf{x_{n+1}=x_{n}x_{n-3}-1}$24439110.22075/ijnaa.2011.91ENC. M.KentDepartment of Mathematics and Applied Mathematics,
Virginia Commonwealth University, P. O. Box 842014, Richmond,
Virginia 23284-2014 USA.W.KosmalaDepartment of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA.Journal Article20110803We investigate the long-term behavior of solutions of the difference equation<br />$$x_{n+1}=x_{n}x_{n-3}-1, n=0,1, \ldots $$<br />where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.https://ijnaa.semnan.ac.ir/article_91_6887491e117b8ae9d1a60123865da966.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201On the fixed point of order 244509210.22075/ijnaa.2011.92ENM.AlimohammadyDepartment of Mathematics, University of
Mazandaran, Babolsar, Iran.A.SadeghiDepartment of Mathematics, University of
Mazandaran, Babolsar, Iran.Journal Article20101204This paper deals with a new type of fixed point, i.e; "fixed point of order 2" which is introduced in a metric space and some results are achieved.https://ijnaa.semnan.ac.ir/article_92_f2ee30bea7399e73de67fec6f2b17bca.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space51619410.22075/ijnaa.2011.94ENU.SingthongDepartment of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, ThailandS.SuntaiDepartment of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, ThailandJournal Article20110403In this paper by using the idea of mean convergence, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the fixed points set of a nonspreading-type mappings in Hilbert space. A strong convergence theorem of the proposed iterative scheme is established under some control conditions. The main result of this paper extend the results obtained by Osilike and Isiogugu (Nonlinear Analysis 74 (2011) 1814-1822) and Kurokawa and Takahashi (Nonlinear Analysis 73 (2010) 1562-1568). We also give an example and numerical results are<br />also given.https://ijnaa.semnan.ac.ir/article_94_7de5ce5a173b8d14a8554699ab8c911f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201On absolute generalized Norlund summability of double orthogonal series62749610.22075/ijnaa.2010.96ENX. Z.KrasniqiDepartment of Mathematics and Computer Sciences,
University of Prishtina
Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E}Journal Article20110111In the paper [Y. Okuyama, On the absolute generalized Norlund summability of orthogonal series, Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal series is summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose of this paper to extend this result to double absolute summability $|N^{(2)},\mathfrak{p},\mathfrak{q}|_k$, $(1\leq k\leq 2)$.https://ijnaa.semnan.ac.ir/article_96_ce6901634dfc9861e8522cb54eb1520f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory75859910.22075/ijnaa.2011.99ENM.AlimohammadyDepartment of Mathematics, University of
Mazandaran, Babolsar, Iran.M.Koozehgar KallegiDepartment of Mathematics, University of
Mazandaran, Babolsar, Iran.Journal Article20110128A new class of nonlinear set-valued variational inclusions involving $(A,\eta)$-monotone mappings in a Banach space setting is introduced and then based on the generalized resolvent operator technique associated with $(A,\eta)$-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm and fixed point theory is investigated.https://ijnaa.semnan.ac.ir/article_99_700c2ca46f47a5614a8b1fa0eb72426b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Further growth of iterated entire functions in terms of its maximum term869110210.22075/ijnaa.2011.102ENR.K.DuttaDepartment of Mathematics,
Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, IndiaJournal Article20110302In this article we consider relative iteration of entire functions and study comparative growth of the maximum term of iterated entire functions with that of the maximum term of the related functions.https://ijnaa.semnan.ac.ir/article_102_a93fda21b7a1387fab1e17fce4ce82fe.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Non-Archimedean stability of Cauchy-Jensen Type functional equation9210210410.22075/ijnaa.2011.104ENH.Azadi KenaryDepartment of Mathematics, Yasouj University,
Yasouj 75914-353, Iran.Journal Article20110115In this paper we investigate the generalized Hyers-Ulam stability of the following Cauchy-Jensen type functional equation<br />$$Q(\frac{x+y}{2}+z)+Q(\frac{x+z}{2}+y)+Q(\frac{z+y}{2}+x) =2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces.https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Strongly $[V_{2}, \lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function10310810510.22075/ijnaa.2011.105ENA.EsiUniversity, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, TurkeyJournal Article20100906In this paper, we introduce strongly $[ V_{2},\lambda_{2},M,p]-$summable double sequence spaces via Orlicz function and examine some properties of the resulting these spaces. Also, we give natural relationship between these spaces and $S_{\lambda_{2}}-$statistical convergence.https://ijnaa.semnan.ac.ir/article_105_2a1aff4726f50b3aeec83d7e677edc29.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222220111201Maximum modulus of derivatives of a polynomial10911310610.22075/ijnaa.2011.106ENA.ZirehDepartment of Mathematics, Shahrood University of Technology, Shahrood,
Iran.Journal Article20110108For an arbitrary entire function $f(z)$, let $M(f,R) = \max_{|z|=R} |f(z)|$ and $m(f, r) =\min_{|z|=r} |f(z)|$. If $P(z)$ is a polynomial of degree $n$ having no zeros in $|z| < k, k \geq 1$, then for $0 \leq r \leq\rho\leq k$, it is proved by Aziz et al. that<br />$$M(P',\rho)\leq\frac{n}{\rho+k}\{(\frac{\rho+k}{r+k})^n[1-\frac{(k-\rho)(n|a_0|-k|a_1|)n}{(\rho^2+k^2)n|a_0|+2k^2\rho |a_1|}(\frac{\rho-r}{k+r})(\frac{k+1}{k+\rho})^{n-1}]M(P,r)$$<br />$$-[\frac{(n|a_0|\rho+k^2|a_1|)(r+k)}{(\rho^2+k^2)n|a_0|+2k^2\rho|a_1|}\times[((\frac{\rho+k}{r+k})^n-1)-n(\rho-r)]]m(P,k)\}$$<br />In this paper, we obtain a refinement of the above inequality. Moreover, we obtain<br />a generalization of above inequality for $M(P', R)$, where $R\geq k$.https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf