2011
2
2
2
0
1

HyersUlam and HyersUlamRassias stability of nonlinear integral equations with delay
https://ijnaa.semnan.ac.ir/article_47.html
10.22075/ijnaa.2011.47
1
In this paper, we are going to study the HyersUlamRassias types of stability for nonlinear, nonhomogeneous Volterra integral equations with delay on finite intervals.
0

1
6


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


E. M.
Rojas
Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colombia.
Colombia
Hyers
Ulam
Rassias stability
1

Two common fixed Point theorems for compatible mappings
https://ijnaa.semnan.ac.ir/article_52.html
10.22075/ijnaa.2011.52
1
Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory for generalized $varphi$weak contractions, Appl. Math. Lett. 22(2009) 7578] 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.
0

7
18


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


M.
Yazdi
Department of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 3414916818, Qazvin, Iran.
Iran
Common fixed point
Compatible mappings
weakly compatible mappings
$varphi$weak contraction
Complete metric space
1

New inequalities for a class of differentiable functions
https://ijnaa.semnan.ac.ir/article_89.html
10.22075/ijnaa.2011.89
1
In this paper, we use the RiemannLiouville fractional integrals to establish some new integral inequalities related to Chebyshev's functional in the case of two differentiable functions.
0

19
23


Z.
Dahmani
Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria
Algeria
Chebyshev's functional
Differentiable function
Integral inequalities
RiemannLiouville fractional integral
1

On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n3}1}$
https://ijnaa.semnan.ac.ir/article_91.html
10.22075/ijnaa.2011.91
1
We investigate the longterm behavior of solutions of the difference equation$$x_{n+1}=x_{n}x_{n3}1, n=0,1, ldots $$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.
0

24
43


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


W.
Kosmala
Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA.
United States
Difference equations
boundedness
periodicity
Asymptotic periodicity
Eventual periodicity
Invariant interval
Continued fractions
1

On the fixed point of order 2
https://ijnaa.semnan.ac.ir/article_92.html
10.22075/ijnaa.2011.92
1
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.
0

44
50


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


A.
Sadeghi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Iran
Common fixed point
Fixed point
nonexpansive map
contractive map
1

Equilibrium problems and fixed point problems for nonspreadingtype mappings in hilbert space
https://ijnaa.semnan.ac.ir/article_94.html
10.22075/ijnaa.2011.94
1
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 nonspreadingtype 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) 18141822) and Kurokawa and Takahashi (Nonlinear Analysis 73 (2010) 15621568). We also give an example and numerical results arealso given.
0

51
61


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


S.
Suntai
Department of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, Thailand
Thailand
$k$strictly pseudononspreading mappings
nonspreading mappings
fixed points
strong convergence
equilibrium problem
Hilbert spaces
1

On absolute generalized Norlund summability of double orthogonal series
https://ijnaa.semnan.ac.ir/article_96.html
10.22075/ijnaa.2010.96
1
In the paper [Y. Okuyama, On the absolute generalized Norlund summability of orthogonal series, Tamkang J. Math. Vol. 33, No. 2, (2002), 161165] 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 $N^{(2)},mathfrak{p},mathfrak{q}_k$, $(1leq kleq 2)$.
0

62
74


X. Z.
Krasniqi
Department of Mathematics and Computer Sciences,
University of Prishtina
Avenue "Mother Theresa " 5, Prishtin"e, 10000, KOSOV"{E}
Iran
Double orthogonal series
Double Norlund summability
1

A Class of nonlinear $(A,eta)$monotone operator inclusion problems with iterative algorithm and fixed point theory
https://ijnaa.semnan.ac.ir/article_99.html
10.22075/ijnaa.2011.99
1
A new class of nonlinear setvalued 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.
0

75
85


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


M.
Koozehgar Kallegi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
Iran
$(A, eta)$monotonicity
$delta$Lipschitz
$(H,eta)$monotone operator
1

Further growth of iterated entire functions in terms of its maximum term
https://ijnaa.semnan.ac.ir/article_102.html
10.22075/ijnaa.2011.102
1
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.
0

86
91


R.K.
Dutta
Department of Mathematics,
Siliguri Institute of Technology, Post.Sukna, Siliguri, Dist.Darjeeling, Pin734009, West Bengal, India
India
Entire functions
maximum term
Maximum modulus
Iteration
Order
Lower order
1

NonArchimedean stability of CauchyJensen Type functional equation
https://ijnaa.semnan.ac.ir/article_104.html
10.22075/ijnaa.2011.104
1
In this paper we investigate the generalized HyersUlam stability of the following CauchyJensen 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 nonArchimedean spaces.
0

92
102


H.
Azadi Kenary
Department of Mathematics, Yasouj University,
Yasouj 75914353, Iran.
Iran
generalized HyersUlam stability
NonArchimedean spaces
Fixed point method
1

Strongly $[V_{2}, lambda_{2}, M, p]$ summable double sequence spaces defined by orlicz function
https://ijnaa.semnan.ac.ir/article_105.html
10.22075/ijnaa.2011.105
1
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.
0

103
108


A.
Esi
University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
Turkey
Pconvergent
double statistical convergence
Orlicz function
1

Maximum modulus of derivatives of a polynomial
https://ijnaa.semnan.ac.ir/article_106.html
10.22075/ijnaa.2011.106
1
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 $0 leq r leqrholeq k$, it is proved by Aziz et al. that$$M(P',rho)leqfrac{n}{rho+k}{(frac{rho+k}{r+k})^n[1frac{(krho)(na_0ka_1)n}{(rho^2+k^2)na_0+2k^2rho a_1}(frac{rhor}{k+r})(frac{k+1}{k+rho})^{n1}]M(P,r)$$$$[frac{(na_0rho+k^2a_1)(r+k)}{(rho^2+k^2)na_0+2k^2rhoa_1}times[((frac{rho+k}{r+k})^n1)n(rhor)]]m(P,k)}$$In this paper, we obtain a refinement of the above inequality. Moreover, we obtaina generalization of above inequality for $M(P', R)$, where $Rgeq k$.
0

109
113


A.
Zireh
Department of Mathematics, Shahrood University of Technology, Shahrood,
Iran.
Iran
Polynomial
inequality
Maximum modulus
Restricted Zeros