ORIGINAL_ARTICLE Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay In 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.pdf 2011-06-01 1 6 10.22075/ijnaa.2011.47 Hyers Ulam Rassias stability J. R. Morales 1 Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela AUTHOR E. M. Rojas 2 Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colombia. AUTHOR
ORIGINAL_ARTICLE Two common fixed Point theorems for compatible mappings Recently, 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.pdf 2011-06-01 7 18 10.22075/ijnaa.2011.52 Common fixed point Compatible mappings weakly compatible mappings $varphi$-weak contraction Complete metric space A. Razani 1 Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. LEAD_AUTHOR M. Yazdi 2 Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. AUTHOR
ORIGINAL_ARTICLE New inequalities for a class of differentiable functions In 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.pdf 2011-06-01 19 23 10.22075/ijnaa.2011.89 Chebyshev's functional Differentiable function Integral inequalities Riemann-Liouville fractional integral Z. Dahmani 1 Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria LEAD_AUTHOR
ORIGINAL_ARTICLE On the nature of solutions of the difference equation $\mathbf{x_{n+1}=x_{n}x_{n-3}-1}$ We investigate the long-term behavior of solutions of the difference equation$$x_{n+1}=x_{n}x_{n-3}-1, n=0,1, \ldots$$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.pdf 2011-06-01 24 43 10.22075/ijnaa.2011.91 Difference equations boundedness periodicity Asymptotic periodicity Eventual periodicity Invariant interval Continued fractions C. M. Kent 1 Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, P. O. Box 842014, Richmond, Virginia 23284-2014 USA. LEAD_AUTHOR W. Kosmala 2 Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA. AUTHOR
ORIGINAL_ARTICLE On the fixed point of order 2 This 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.pdf 2011-06-01 44 50 10.22075/ijnaa.2011.92 Common fixed point Fixed point non-expansive map contractive map M. Alimohammady 1 Department of Mathematics, University of Mazandaran, Babolsar, Iran. LEAD_AUTHOR A. Sadeghi 2 Department of Mathematics, University of Mazandaran, Babolsar, Iran. AUTHOR
ORIGINAL_ARTICLE Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space In 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 arealso given. https://ijnaa.semnan.ac.ir/article_94_7de5ce5a173b8d14a8554699ab8c911f.pdf 2011-06-01 51 61 10.22075/ijnaa.2011.94 $k$-strictly pseudononspreading mappings nonspreading mappings fixed points strong convergence equilibrium problem Hilbert spaces U. Singthong 1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand AUTHOR S. Suntai 2 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand LEAD_AUTHOR
ORIGINAL_ARTICLE On absolute generalized Norlund summability of double orthogonal series In 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.pdf 2011-06-01 62 74 10.22075/ijnaa.2010.96 Double orthogonal series Double Norlund summability X. Z. Krasniqi 1 Department of Mathematics and Computer Sciences, University of Prishtina Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E} LEAD_AUTHOR
ORIGINAL_ARTICLE A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory A 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.pdf 2011-06-01 75 85 10.22075/ijnaa.2011.99 $(A, eta)$-monotonicity $delta$-Lipschitz $(H,eta)$-monotone operator M. Alimohammady 1 Department of Mathematics, University of Mazandaran, Babolsar, Iran. LEAD_AUTHOR M. Koozehgar Kallegi 2 Department of Mathematics, University of Mazandaran, Babolsar, Iran. AUTHOR
ORIGINAL_ARTICLE Further growth of iterated entire functions in terms of its maximum term In 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.pdf 2011-06-01 86 91 10.22075/ijnaa.2011.102 Entire functions maximum term Maximum modulus Iteration Order Lower order R.K. Dutta 1 Department of Mathematics, Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, India LEAD_AUTHOR
ORIGINAL_ARTICLE Non-Archimedean stability of Cauchy-Jensen Type functional equation In this paper we investigate the generalized Hyers-Ulam stability of the following Cauchy-Jensen type functional equation$$Q(\frac{x+y}{2}+z)+Q(\frac{x+z}{2}+y)+Q(\frac{z+y}{2}+x) =2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces. https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf 2011-06-01 92 102 10.22075/ijnaa.2011.104 generalized Hyers-Ulam stability Non-Archimedean spaces Fixed point method H. Azadi Kenary 1 Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE Strongly $[V_{2}, \lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function In 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.pdf 2011-06-01 103 108 10.22075/ijnaa.2011.105 P-convergent double statistical convergence Orlicz function A. Esi 1 University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey LEAD_AUTHOR
ORIGINAL_ARTICLE Maximum modulus of derivatives of a polynomial For 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$$M(P',\rho)\leq\frac{n}{\rho+k}\{(\frac{\rho+k}{r+k})^n[1-\frac{(k-\rho)(n|a_0|-k|a_1|)n}{(\rho^2+k^2)n|a_0|+2k^2\rho |a_1|}(\frac{\rho-r}{k+r})(\frac{k+1}{k+\rho})^{n-1}]M(P,r)$$$$-[\frac{(n|a_0|\rho+k^2|a_1|)(r+k)}{(\rho^2+k^2)n|a_0|+2k^2\rho|a_1|}\times[((\frac{\rho+k}{r+k})^n-1)-n(\rho-r)]]m(P,k)\}$$In this paper, we obtain a refinement of the above inequality. Moreover, we obtaina generalization of above inequality for $M(P', R)$, where $R\geq k$. https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf 2011-06-01 109 113 10.22075/ijnaa.2011.106 Polynomial inequality Maximum modulus Restricted Zeros A. Zireh 1 Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. LEAD_AUTHOR