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