2011
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HyersUlam and HyersUlamRassias stability of nonlinear integral equations with delay
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2
In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.
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1
6


J. R.
Morales
Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela.
Departamento de Matematicas, Universidad
Iran


E. M.
Rojas
Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colom
bia.
Departamento de Matematicas, Pontificia
Iran
Hyers{Ulam{Rassias stability
Two common fixed Point theorems for compatible mappings
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2
Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$weak contractions,Appl. Math. Lett. 22(2009) 7578] 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.
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7
18


A.
Razani
Department of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 3414916818, Qazvin, Iran.
Department of Mathematics, Faculty of Science,
I.
Iran


M.
Yazdi
Department of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 3414916818, Qazvin, Iran.
Department of Mathematics, Faculty of Science,
I.
Iran
Common fixed point
Compatible mappings
weakly compatible mappings
$varphi$weak contraction
Complete metric space
New inequalities for a class of differentiable functions
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2
In this paper, we use the RiemannLiouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.
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19
23


Z.
Dahmani
Laboratory of Pure and Applied Mathematics, Faculty of SESNV,
UMAB, University of Mostaganem Adelhamid Ben Badis,
Algeria.
Laboratory of Pure and Applied Mathematics,
Iran
Chebyshev's functional
Differentiable function
Integral inequalities
RiemannLiouville fractional integral
On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n3}1}$
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2
We investigate the longterm behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n3}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.
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24
43


C. M.
Kent
Department of Mathematics and Applied Mathematics,
Virginia Commonwealth University, P. O. Box 842014, Richmond,
Virginia 232842014 USA.
Department of Mathematics and Applied Mathematics,
Iran


W.
Kosmala
Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA.
Department of Mathematical Sciences, Appalachian
Iran
Difference equations
boundedness
periodicity
Asymptotic periodicity
Eventual periodicity
Invariant interval
Continued fractions
On the fixed point of order 2
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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.
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44
50


M.
Alimohammady
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Mazandara
Iran


A.
Sadeghi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Mazandara
Iran
Equilibrium problems and fixed point problems for nonspreadingtype mappings in hilbert space
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2
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 nonspreadingtype 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) 18141822) and Kurokawa and Takahashi (Nonlinear Analysis 73(2010) 15621568). We also give an example and numerical results arealso given.
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51
61


U.
Singthong
Department of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, Thailand
Department of Mathematics, Faculty of Science,
Chi
Iran


S.
Suntai
Department of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, Thailand
Department of Mathematics, Faculty of Science,
Chi
Iran
$k$strictly pseudononspreading mappings
nonspreading mappings
fixed points
strong convergence
equilibrium problem
Hilbert spaces
On absolute generalized Norlund summability of double orthogonal series
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2
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), 161165] 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 $N^{(2)},mathfrak{p},mathfrak{q}_k$, $(1leq kleq 2)$
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62
74


X. Z.
Krasniqi
Department of Mathematics and Computer Sciences,
University of Prishtina
Avenue "Mother Theresa " 5, Prishtin"e, 10000, KOSOV"{E}
Department of Mathematics and Computer Sciences,
U
Iran
Double orthogonal series
Double N"{o}rlund summability
A Class of nonlinear $(A,eta)$monotone operator inclusion problems with iterative algorithm and fixed point theory
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2
A new class of nonlinear setvalued 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.
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75
85


M.
Alimohammady
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Mazandara
Iran


M.
Koozehgar Kallegi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Mazandara
Iran
$(A
eta)$monotonicity
$delta$Lipschitz
$(H
eta)$monotone operator
Further growth of iterated entire functions in terms of its maximum term
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2
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.
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86
91


R.K.
Dutta
Department of Mathematics,
Siliguri Institute of Technology, Post.Sukna, Siliguri, Dist.Darjeeling, Pin734009, West Bengal, India.
Department of Mathematics,
Siliguri Institute
Iran
Entire functions
maximum term
maximum modulus
Iteration
Order
Lower order
NonArchimedean stability of CauchyJensen Type functional equation
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2
In this paper we investigate the generalized HyersUlamstability of the following CauchyJensen 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 nonArchimedean spaces
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92
102


H.
Azadi Kenary
Department of Mathematics, Yasouj University,
Yasouj 75914353, Iran.
Department of Mathematics, Yasouj University,
Iran
generalized HyersUlam stability
NonArchimedean spaces
Fixed point method
Strongly $[V_{2}, lambda_{2}, M, p]$ summable double sequence spaces defined by orlicz function
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2
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.
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103
108


A.
Esi
University, Science and Art Faculty, Department of Mathematics,
02040, Adiyaman, Turkey.
University, Science and Art Faculty, Department
Iran
Pconvergent
double statistical convergence
Orlicz function
Maximum modulus of derivatives of a polynomial
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2
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)(nja0jkja1j)n(2+k2)nja0j+2k2ja1j ( rk+ )( k+rk+ )n1]M(P; r)[ (nja0j+k2ja1j)(r+k)(2+k2)nja0j+2k2ja1j [(( +kr+k )n 1) n( r)]]m(P; k)g:In this paper, we obtain a renement of the above inequality. Moreover, we obtaina generalization of above inequality for M(P0;R), where R k.
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109
113


A.
Zireh
Department of Mathematics, Shahrood University of Technology, Shahrood,
Iran.
Department of Mathematics, Shahrood University
Iran
Polynomial
Inequality
maximum modulus
Restricted zeros