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 typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals. https://ijnaa.semnan.ac.ir/article_47_7fd8f693b5d94a2551e2b82f27c91bf7.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 1 6 10.22075/ijnaa.2011.47 Hyers{Ulam{Rassias stability J. R. Morales true 1 Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela. Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela. Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela. AUTHOR E. M. Rojas true 2 Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colom- bia. Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colom- bia. Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colom- bia. AUTHOR
ORIGINAL_ARTICLE Two common fixed Point theorems for compatible mappings Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given. https://ijnaa.semnan.ac.ir/article_52_df6e4b461764631205c5fc39343adf56.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 7 18 10.22075/ijnaa.2011.52 Common fixed point Compatible mappings weakly compatible mappings $varphi$-weak contraction Complete metric space A. Razani true 1 Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. LEAD_AUTHOR M. Yazdi true 2 Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. 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 fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions. https://ijnaa.semnan.ac.ir/article_89_5b6298d52740d7db0485f5512b6c49dd.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 19 23 10.22075/ijnaa.2011.89 Chebyshev's functional Differentiable function Integral inequalities Riemann-Liouville fractional integral Z. Dahmani true 1 Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria. Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria. 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 ,, ]noindent 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 2011-06-01T11:23:20 2020-01-24T11:23:20 24 43 10.22075/ijnaa.2011.91 Difference equations boundedness periodicity Asymptotic periodicity Eventual periodicity Invariant interval Continued fractions C. M. Kent true 1 Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, P. O. Box 842014, Richmond, Virginia 23284-2014 USA. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, P. O. Box 842014, Richmond, Virginia 23284-2014 USA. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, P. O. Box 842014, Richmond, Virginia 23284-2014 USA. LEAD_AUTHOR W. Kosmala true 2 Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA. Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA. 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 spaceand some results are achieved. https://ijnaa.semnan.ac.ir/article_92_f2ee30bea7399e73de67fec6f2b17bca.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 44 50 10.22075/ijnaa.2011.92 M. Alimohammady true 1 Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. LEAD_AUTHOR A. Sadeghi true 2 Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. 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, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in Hilbert space. A strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. The main result of this paper extendthe 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 2011-06-01T11:23:20 2020-01-24T11:23:20 51 61 10.22075/ijnaa.2011.94 $k$-strictly pseudononspreading mappings nonspreading mappings fixed points strong convergence equilibrium problem Hilbert spaces U. Singthong true 1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand AUTHOR S. Suntai true 2 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand 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, {it On the absolute generalized N"{o}rlund 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 seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result to double absolute summability $|N^{(2)},mathfrak{p},mathfrak{q}|_k$, $(1leq kleq 2)$ https://ijnaa.semnan.ac.ir/article_96_ce6901634dfc9861e8522cb54eb1520f.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 62 74 10.22075/ijnaa.2010.96 Double orthogonal series Double N"{o}rlund summability X. Z. Krasniqi true 1 Department of Mathematics and Computer Sciences, University of Prishtina Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E} Department of Mathematics and Computer Sciences, University of Prishtina Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E} 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 variationalinclusions involving $(A,eta)$-monotone mappings in a Banachspace setting is introduced, and then based on the generalizedresolvent operator technique associated with$(A,eta)$-monotonicity, the existence and approximationsolvability of solutions using an iterative algorithm and fixedpint theory is investigated. https://ijnaa.semnan.ac.ir/article_99_700c2ca46f47a5614a8b1fa0eb72426b.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 75 85 10.22075/ijnaa.2011.99 $(A eta)$-monotonicity $delta$-Lipschitz $(H eta)$-monotone operator M. Alimohammady true 1 Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. LEAD_AUTHOR M. Koozehgar Kallegi true 2 Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematics, University of Mazandaran, Babolsar, Iran. 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 studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions. https://ijnaa.semnan.ac.ir/article_102_a93fda21b7a1387fab1e17fce4ce82fe.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 86 91 10.22075/ijnaa.2011.102 Entire functions maximum term Maximum modulus Iteration Order Lower order R.K. Dutta true 1 Department of Mathematics, Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, India. Department of Mathematics, Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, India. 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-Ulamstability of the following Cauchy-Jensen type functional equation$$QBig(frac{x+y}{2}+zBig)+QBig(frac{x+z}{2}+yBig)+QBig(frac{z+y}{2}+xBig)=2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 92 102 10.22075/ijnaa.2011.104 generalized Hyers-Ulam stability Non-Archimedean spaces Fixed point method H. Azadi Kenary true 1 Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran. Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran. 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 $left[ V_{2},lambda_{2},M,pright]-$summable double vsequence spaces via Orlicz function and examine someproperties of the resulting these spaces. Also we give natural relationshipbetween these spaces and $S_{lambda_{2}}-$statistical convergence. https://ijnaa.semnan.ac.ir/article_105_2a1aff4726f50b3aeec83d7e677edc29.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 103 108 10.22075/ijnaa.2011.105 P-convergent double statistical convergence Orlicz function A. Esi true 1 University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey. University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey. 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) = maxjzj=R jf(z)jand m(f; r) = minjzj=r jf(z)j. If P(z) is a polynomial of degree n having no zerosin jzj < k, k  1, then for 0  r    k, it is proved by Aziz et al. thatM(P0; )  n+k f( +kk+r )n[1 􀀀 k(k􀀀)(nja0j􀀀kja1j)n(2+k2)nja0j+2k2ja1j ( 􀀀rk+ )( k+rk+ )n􀀀1]M(P; r)􀀀[ (nja0j+k2ja1j)(r+k)(2+k2)nja0j+2k2ja1j  [(( +kr+k )n 􀀀 1) 􀀀 n( 􀀀 r)]]m(P; k)g:In this paper, we obtain a re nement of the above inequality. Moreover, we obtaina generalization of above inequality for M(P0;R), where R  k. https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf 2011-06-01T11:23:20 2020-01-24T11:23:20 109 113 10.22075/ijnaa.2011.106 Polynomial inequality Maximum modulus Restricted Zeros A. Zireh true 1 Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. LEAD_AUTHOR