2022-05-16T21:51:37Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=15
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
J. R.
Morales
E. M.
Rojas
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.
Hyers
Ulam
Rassias stability
2011
06
01
1
6
https://ijnaa.semnan.ac.ir/article_47_7fd8f693b5d94a2551e2b82f27c91bf7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Two common fixed Point theorems for compatible mappings
A.
Razani
M.
Yazdi
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.
Common fixed point
Compatible mappings
weakly compatible mappings
$varphi$-weak contraction
Complete metric space
2011
06
01
7
18
https://ijnaa.semnan.ac.ir/article_52_df6e4b461764631205c5fc39343adf56.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
New inequalities for a class of differentiable functions
Z.
Dahmani
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.
Chebyshev's functional
Differentiable function
Integral inequalities
Riemann-Liouville fractional integral
2011
06
01
19
23
https://ijnaa.semnan.ac.ir/article_89_5b6298d52740d7db0485f5512b6c49dd.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
C. M.
Kent
W.
Kosmala
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.
Difference equations
boundedness
periodicity
Asymptotic periodicity
Eventual periodicity
Invariant interval
Continued fractions
2011
06
01
24
43
https://ijnaa.semnan.ac.ir/article_91_6887491e117b8ae9d1a60123865da966.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
On the fixed point of order 2
M.
Alimohammady
A.
Sadeghi
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.
Common fixed point
Fixed point
non-expansive map
contractive map
2011
06
01
44
50
https://ijnaa.semnan.ac.ir/article_92_f2ee30bea7399e73de67fec6f2b17bca.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space
U.
Singthong
S.
Suntai
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.
$k$-strictly pseudononspreading mappings
nonspreading mappings
fixed points
strong convergence
equilibrium problem
Hilbert spaces
2011
06
01
51
61
https://ijnaa.semnan.ac.ir/article_94_7de5ce5a173b8d14a8554699ab8c911f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
On absolute generalized Norlund summability of double orthogonal series
X. Z.
Krasniqi
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 $|N^{(2)},\mathfrak{p},\mathfrak{q}|_k$, $(1\leq k\leq 2)$.
Double orthogonal series
Double Norlund summability
2011
06
01
62
74
https://ijnaa.semnan.ac.ir/article_96_ce6901634dfc9861e8522cb54eb1520f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
A Class of nonlinear $(A,eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory
M.
Alimohammady
M.
Koozehgar Kallegi
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.
$(A, eta)$-monotonicity
$delta$-Lipschitz
$(H,eta)$-monotone operator
2011
06
01
75
85
https://ijnaa.semnan.ac.ir/article_99_700c2ca46f47a5614a8b1fa0eb72426b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Further growth of iterated entire functions in terms of its maximum term
R.K.
Dutta
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.
Entire functions
maximum term
Maximum modulus
Iteration
Order
Lower order
2011
06
01
86
91
https://ijnaa.semnan.ac.ir/article_102_a93fda21b7a1387fab1e17fce4ce82fe.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Non-Archimedean stability of Cauchy-Jensen Type functional equation
H.
Azadi Kenary
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.
generalized Hyers-Ulam stability
Non-Archimedean spaces
Fixed point method
2011
06
01
92
102
https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Strongly $[V_{2}, lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function
A.
Esi
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.
P-convergent
double statistical convergence
Orlicz function
2011
06
01
103
108
https://ijnaa.semnan.ac.ir/article_105_2a1aff4726f50b3aeec83d7e677edc29.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
2
Maximum modulus of derivatives of a polynomial
A.
Zireh
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 $R\geq k$.
Polynomial
inequality
Maximum modulus
Restricted Zeros
2011
06
01
109
113
https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf