IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.47 unavailable Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay Morales J. R. Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela. Rojas E. M. Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colom- bia. 01 06 2011 2 2 1 6 06 04 2011 06 06 2011 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_47.html

In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.

Hyers{Ulam{Rassias stability
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.52 unavailable Two common fixed Point theorems for compatible mappings Razani A. Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. Yazdi M. Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. 01 06 2011 2 2 7 18 12 03 2011 12 07 2011 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_52.html

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.

Common fixed point Compatible mappings weakly compatible mappings \$varphi\$-weak contraction Complete metric space
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.89 unavailable New inequalities for a class of differentiable functions Dahmani Z. Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria. 01 06 2011 2 2 19 23 20 12 2011 20 12 2011 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_89.html

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.

Chebyshev's functional Differentiable function Integral inequalities Riemann-Liouville fractional integral
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.91 unavailable On the nature of solutions of the difference equation \$mathbf{x_{n+1}=x_{n}x_{n-3}-1}\$ Kent C. M. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, P. O. Box 842014, Richmond, Virginia 23284-2014 USA. Kosmala W. Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA. 01 06 2011 2 2 24 43 20 12 2010 20 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_91.html

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.

Difference equations boundedness periodicity Asymptotic periodicity Eventual periodicity Invariant interval Continued fractions
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.92 unavailable On the fixed point of order 2 Alimohammady M. Department of Mathematics, University of Mazandaran, Babolsar, Iran. Sadeghi A. Department of Mathematics, University of Mazandaran, Babolsar, Iran. 01 06 2011 2 2 44 50 20 12 2011 20 12 2011 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_92.html

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.

IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.94 unavailable Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space Singthong U. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand Suntai S. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand 01 06 2011 2 2 51 61 21 12 2010 21 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_94.html

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.

\$k\$-strictly pseudononspreading mappings nonspreading mappings fixed points strong convergence equilibrium problem Hilbert spaces
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2010.96 unavailable On absolute generalized Norlund summability of double orthogonal series Krasniqi X. Z. Department of Mathematics and Computer Sciences, University of Prishtina Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E} 01 06 2011 2 2 62 74 21 12 2010 21 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_96.html

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)\$

Double orthogonal series Double N"{o}rlund summability
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.99 unavailable A Class of nonlinear \$(A,eta)\$-monotone operator inclusion problems with iterative algorithm and fixed point theory Alimohammady M. Department of Mathematics, University of Mazandaran, Babolsar, Iran. Koozehgar Kallegi M. Department of Mathematics, University of Mazandaran, Babolsar, Iran. 01 06 2011 2 2 75 85 28 12 2010 28 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_99.html

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.

\$(A eta)\$-monotonicity \$delta\$-Lipschitz \$(H eta)\$-monotone operator
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.102 unavailable Further growth of iterated entire functions in terms of its maximum term Dutta R.K. Department of Mathematics, Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, India. 01 06 2011 2 2 86 91 30 12 2010 30 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_102.html

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.

Entire functions maximum term Maximum modulus Iteration Order Lower order
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.104 unavailable Non-Archimedean stability of Cauchy-Jensen Type functional equation Azadi Kenary H. Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran. 01 06 2011 2 2 92 102 30 12 2010 30 12 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_104.html

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

generalized Hyers-Ulam stability Non-Archimedean spaces Fixed point method
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.105 unavailable Strongly \$[V_{2}, lambda_{2}, M, p]-\$ summable double sequence spaces defined by orlicz function Esi A. University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey. 01 06 2011 2 2 103 108 06 01 2010 06 01 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_105.html

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.

P-convergent double statistical convergence Orlicz function
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2011.106 unavailable Maximum modulus of derivatives of a polynomial Zireh A. Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. 01 06 2011 2 2 109 113 06 01 2010 06 01 2010 Copyright © 2011, Semnan University. 2011 https://ijnaa.semnan.ac.ir/article_106.html

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.

Polynomial inequality Maximum modulus Restricted Zeros