Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
J. R.
Morales
Departamento de Matematicas, Universidad de Los Andes, Merida, Venezuela
author
E. M.
Rojas
Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colombia.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
1
6
https://ijnaa.semnan.ac.ir/article_47_7fd8f693b5d94a2551e2b82f27c91bf7.pdf
dx.doi.org/10.22075/ijnaa.2011.47
Two common fixed Point theorems for compatible mappings
A.
Razani
Department of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran.
author
M.
Yazdi
Department of Mathematics, Faculty of Science,
I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
7
18
https://ijnaa.semnan.ac.ir/article_52_df6e4b461764631205c5fc39343adf56.pdf
dx.doi.org/10.22075/ijnaa.2011.52
New inequalities for a class of differentiable functions
Z.
Dahmani
Laboratory of Pure and Applied Mathematics, Faculty of SESNV, UMAB, University of Mostaganem Adelhamid Ben Badis, Algeria
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
19
23
https://ijnaa.semnan.ac.ir/article_89_5b6298d52740d7db0485f5512b6c49dd.pdf
dx.doi.org/10.22075/ijnaa.2011.89
On the nature of solutions of the difference equation $\mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
C. M.
Kent
Department of Mathematics and Applied Mathematics,
Virginia Commonwealth University, P. O. Box 842014, Richmond,
Virginia 23284-2014 USA.
author
W.
Kosmala
Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608 USA.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
24
43
https://ijnaa.semnan.ac.ir/article_91_6887491e117b8ae9d1a60123865da966.pdf
dx.doi.org/10.22075/ijnaa.2011.91
On the fixed point of order 2
M.
Alimohammady
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
author
A.
Sadeghi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
44
50
https://ijnaa.semnan.ac.ir/article_92_f2ee30bea7399e73de67fec6f2b17bca.pdf
dx.doi.org/10.22075/ijnaa.2011.92
Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space
U.
Singthong
Department of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, Thailand
author
S.
Suntai
Department of Mathematics, Faculty of Science,
Chiang Mai University, Chiang Mai 50200, Thailand
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
51
61
https://ijnaa.semnan.ac.ir/article_94_7de5ce5a173b8d14a8554699ab8c911f.pdf
dx.doi.org/10.22075/ijnaa.2011.94
On absolute generalized Norlund summability of double orthogonal series
X. Z.
Krasniqi
Department of Mathematics and Computer Sciences,
University of Prishtina
Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E}
author
text
article
2011
eng
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 $|N^{(2)},\mathfrak{p},\mathfrak{q}|_k$, $(1\leq k\leq 2)$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
62
74
https://ijnaa.semnan.ac.ir/article_96_ce6901634dfc9861e8522cb54eb1520f.pdf
dx.doi.org/10.22075/ijnaa.2010.96
A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory
M.
Alimohammady
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
author
M.
Koozehgar Kallegi
Department of Mathematics, University of
Mazandaran, Babolsar, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
75
85
https://ijnaa.semnan.ac.ir/article_99_700c2ca46f47a5614a8b1fa0eb72426b.pdf
dx.doi.org/10.22075/ijnaa.2011.99
Further growth of iterated entire functions in terms of its maximum term
R.K.
Dutta
Department of Mathematics,
Siliguri Institute of Technology, Post.-Sukna, Siliguri, Dist.-Darjeeling, Pin-734009, West Bengal, India
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
86
91
https://ijnaa.semnan.ac.ir/article_102_a93fda21b7a1387fab1e17fce4ce82fe.pdf
dx.doi.org/10.22075/ijnaa.2011.102
Non-Archimedean stability of Cauchy-Jensen Type functional equation
H.
Azadi Kenary
Department of Mathematics, Yasouj University,
Yasouj 75914-353, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
92
102
https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf
dx.doi.org/10.22075/ijnaa.2011.104
Strongly $[V_{2}, \lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function
A.
Esi
University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
103
108
https://ijnaa.semnan.ac.ir/article_105_2a1aff4726f50b3aeec83d7e677edc29.pdf
dx.doi.org/10.22075/ijnaa.2011.105
Maximum modulus of derivatives of a polynomial
A.
Zireh
Department of Mathematics, Shahrood University of Technology, Shahrood,
Iran.
author
text
article
2011
eng
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 $R\geq k$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
2
no.
2011
109
113
https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf
dx.doi.org/10.22075/ijnaa.2011.106