2015
6
1
1
0
1

A common fixed point theorem for weakly compatible maps satisfying common property (E.A) and implicit relation in intuitionistic fuzzy metric spaces
https://ijnaa.semnan.ac.ir/article_201.html
10.22075/ijnaa.2015.201
1
In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A), J. Indian Math. Soc., 76 (14) (2009), 9403] and C. Alaca et al. [C. Alaca, D. Turkoglu and C. Yildiz, Fixed points in Intuitionistic fuzzy metric spaces, Chaos Solitons and Fractals, 29 (2006), 10731078].
0

1
8


Saurav
Manro
School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab), India
India
sauravmanro@hotmail.com
Intuitionistic fuzzy metric space
weakly compatible mappings
common property (E.A)
implicit relation
1

Fixed point theorems on generalized $c$distance in ordered cone $b$metric spaces
https://ijnaa.semnan.ac.ir/article_174.html
10.22075/ijnaa.2015.174
1
In this paper, we introduce a concept of a generalized $c$distance in ordered cone $b$metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point heorems on generalized distance in ordered cone metric spaces, J. Computers and Mathematics with Application. 61 (2011), 12541260). Furthermore, we give some examples and an application to support our main results.
0

9
22


B.
Bao
School of Mathematics and Statistics, Hubei Normal University,
Huangshi, 435002, China
China
bbg11043218765@126.com


S.
Xu
Department of Mathematics and Statistics, Hanshan
Normal University, Chaozhou, 521041, China
China
xushaoyuan@126.com


L.
Shi
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia
Serbia
shilu0701@126.com


V.
Cojbasic Rajic
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia
Serbia
Fixed point
Cone $b$metric spaces
Generalized $c$distance
1

Bernstein's polynomials for convex functions and related results
https://ijnaa.semnan.ac.ir/article_175.html
10.22075/ijnaa.2015.175
1
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of HermiteHadamard inequality for convex functions.
0

23
34


G.
Zabandan
Department of Mathematics,
Faculty of Mathematical Sciences and Computer
Kharazmi University,
50 Taleghani Avenue,
Tehran, 15618, Iran.
Iran
zabandan@khu.ac.ir
HermiteHadamard inequality
Convex functions
Bernstein's polynomials
1

Orthogonal stability of mixed type additive and cubic functional equations
https://ijnaa.semnan.ac.ir/article_176.html
10.22075/ijnaa.2015.176
1
In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2xy)f(4x)=2f (x+y)+2f(xy)8f(2x) +10f(x)2f(x),$$ with $xbot y$, where $bot$ is orthogonality in the sense of Ratz.
0

35
43


S.
Ostadbashi
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
Iran
s.ostadbashi@urmia.ac.ir


J.
Kazemzadeh
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
Iran
kazemzadeh.teacher@gmail.com
Hyers Ulam Aoki Rassias stability
mixed type additive and cubic functional equation
orthogonality space
1

Statistical uniform convergence in $2$normed spaces
https://ijnaa.semnan.ac.ir/article_177.html
10.22075/ijnaa.2015.177
1
The concept of statistical convergence in $2$normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences in $2$normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373380]. In the first, we introduce concept strongly statistical convergence in $2$normed spaces and generalize some results. Moreover, we define the concept of statistical uniform convergence in $2$normed spaces and prove a basic theorem of uniform convergence in double sequences to the case of statistical convergence.
0

44
52


F.
Amouei Arani
Department of Mathematics, Payame noor University, Tehran, Iran.
Iran
f.amoee@yahoo.com


M.
Eshaghi
Department of Mathematics,
Semnan University, P.O.BOX35195363, Semnan, Iran.
Iran
meshaghi@semnan.ac.ir
statistical convergence
statistical uniform convergence
double sequences
$2$normed space
1

Periodic solution for a delay nonlinear population equation with feedback control and periodic external source
https://ijnaa.semnan.ac.ir/article_178.html
10.22075/ijnaa.2015.178
1
In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides the extension of some previous results obtained in other studies. We give a illustrative example in order to indicate the validity of the assumptions.
0

53
61


P.
Nasertayoob
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
Iran
nasertayoob@aut.ac.ir


S. M.
Vaezpour
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
Iran
vaez@aut.ac.ir
Schauder's fixedpoint theorem
Periodic solution
Population equation
Feedback control
1

On existence and uniqueness of solutions of a nonlinear VolterraFredholm integral equation
https://ijnaa.semnan.ac.ir/article_179.html
10.22075/ijnaa.2015.179
1
In this paper we investigate the existence and uniqueness for VolterraFredholm type integral equations and extension of this type of integral equations. The result is obtained by using the coupled fixed point theorems in the framework of Banach space $ X=C([a,b],mathbb{R})$. Finally, we give an example to illustrate the applications of our results.
0

62
68


S.
Moradi
Department of Mathematics, Faculty of Science,
Arak University, Arak, 3815688349, Iran.
Iran
smoradi@araku.ac.ir


M.
Mohammadi Anjedani
Department of Mathematics, Faculty of Science,
Arak University, Arak, 3815688349, Iran.
Iran
mm_math67@yahoo.com


E.
Analoei
Department of Mathematics, Faculty of Science,
Arak University, Arak, 3815688349, Iran.
Iran
e.analoei@ymail.com
Integral equation
partially ordered set
Coupled fixed point
Mixed monotone property
1

A characterization of multiwavelet packets on general lattices
https://ijnaa.semnan.ac.ir/article_196.html
10.22075/ijnaa.2015.196
1
The objective of this paper is to establish a complete characterization of multiwavelet packets associated with matrix dilation on general lattices $Gamma$ in $mathbb{R}^d$ by virtue of timefrequency analysis, matrix theory and operator theory.
0

69
84


Firdous
Ahmad Shah
Department of Mathematics, University of Kashmir, South Campus, Anantnag192101, Jammu and Kashmir, India
India
Multiwavelet
Multiwavelet Packets
General Lattices
Dilation Matrix
1

Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
https://ijnaa.semnan.ac.ir/article_220.html
10.22075/ijnaa.2015.220
1
We discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of Kirchhoff Type [ u_{tt}phi (x)nabla u(t)^{2}Delta u+delta u_{t}=u^{a}u,, x in mathbb{R}^{N} ,,tgeq 0;,]with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ; delta geq 0$ and $(phi (x))^{1} =g (x)$ is a positive function lying in $L^{N/2}(mathbb{R}^{N})cap L^{infty}(mathbb{R}^{N})$. It is proved that, when the initial energy $ E(u_{0},u_{1})$, which corresponds to the problem, is nonnegative and small, there exists a unique global solution in time in the space ${cal{X}}_{0}=:D(A) times {cal{D}}^{1,2}(mathbb{R}^{N})$. When the initial energy $E(u_{0},u_{1})$ is negative, the solution blowsup in finite time. For the proofs, a combination of the modified potential well method and the concavity method is used. Also, the existence of an absorbing set in the space ${cal{X}}_{1}=:{cal{D}}^{1,2}(mathbb{R}^{N}) times L^{2}_{g}(mathbb{R}^{N})$ is proved and that the dynamical system generated by the problem possess an invariant compact set ${cal {A}}$ in the same space.Finally, for the generalized dissipative Kirchhoff's String problem[ u_{tt}=A^{1/2}u^{2}_{H} Audelta Au_{t}+f(u) ,; ; x in mathbb{R}^{N}, ;; t geq 0;,]with the same hypotheses as above, we study the stability of the trivial solution $uequiv 0$. It is proved that if $f'(0)>0$, then the solution is unstable for the initial Kirchhoff's system, while if $f'(0)<0$ the solution is asymptotically stable. In the critical case, where $f'(0)=0$, the stability is studied by means of the central manifold theory. To do this study we go through a transformation of variables similar to the one introduced by R. Pego.
0

85
95


P.
Papadopoulos
adepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, Greece
Greece
ppapadop@teipir.gr


N.L.
Matiadou
Department of Electronics Engineering, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece
Greece
lmatiadou@yahoo.gr


A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece.
Greece
quasilinear hyperbolic equations
Global Solution
BlowUp
Dissipation
Potential Well
Concavity Method
Unbounded Domains
Kirchhoff strings
generalised Sobolev spaces
1

Remarks on some recent M. Borcut's results in partially ordered metric spaces
https://ijnaa.semnan.ac.ir/article_221.html
10.22075/ijnaa.2015.221
1
In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135142] are generalized and improved, with much shorter proofs. Also, examples are given to support these improvements.
0

96
104


Zoran
Kadelburg
University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia
Serbia
kadelbur@matf.bg.ac.rs


Stojan
Radenovic
Faculty of Mathematics and Information Technology Teacher Education, Dong
Thap University, Cao Lanch City, Dong Thap Province, Viet Nam
Vietnam
fixedpoint50@gmail.com
Tripled coincidence point
$g$monotone property
partially ordered set
1

Wavelet collocation solution of nonlinear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient
https://ijnaa.semnan.ac.ir/article_222.html
10.22075/ijnaa.2015.222
1
In this paper, Wavelet Collocation Method has been used to solve nonlinear fin problem with temperature dependent thermal conductivity and heat transfer coefficient. Thermal conductivity of fin materials varies any type so that we consider thermal conductivity as the general function of temperature. Here we consider three particular cases, where we assume that thermal conductivity is constant, linear and exponential function of temperature. In each case efficiency of fin is evaluated. The whole analysis is presented in dimensionless form and the effect of variability of fin parameter, exponent and thermal conductivity parameter on temperature distribution and fin efficiency is shown graphically and discussed in detail.
0

105
118


Surjan
Singh
DST Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
Iran
surjan.singhbhu@gmail.com


Dinesh
Kumar
DST Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
Iran
dineshaukumar@gmail.com


K.
N Rai
Department of Mathematical Science IIT BHU, Varanasi 221005, India
Iran
knrai.apm@itbhu.ac.in
collocation
conductivity
fin
Temperature
transfer
wavelet
1

Free and constrained equilibrium states in a variational problem on a surface
https://ijnaa.semnan.ac.ir/article_223.html
10.22075/ijnaa.2015.223
1
We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik  Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {it Bifurcation in a Variational Problem on a Surface with a Constraint}, Int. J. Nonlinear Anal. Appl. 2 (1) (2011), 110]. In local coordinates, equilibrium points satisfy an elliptic boundary value problem.
0

119
134


Panayotis
Vyridis
Department of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z) P. C. 098160, Zacatecas, Mexico.
Mexico
pvyridis@gmail.com
Calculus of Variations
Critical points for the Energy Functional
Boundary Value Problem for an Elliptic PDE
Surface
Curvature
1

Approximately $n$order linear differential equations
https://ijnaa.semnan.ac.ir/article_224.html
10.22075/ijnaa.2015.224
1
We prove the generalized HyersUlam stability of $n$th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n1)}+ cdots+p_{n1}(x)y^{prime}+p_{n}(x)y=f(x),$$ with condition that there exists a nonzero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.
0

135
139


Abbas
Javadian
Semnan University, P.O. Box 35195363, Semnan, Iran
Iran
ajavadian@semnan.ac.ir
HyersUlam stability
Linear differential equation
homogeneous equation
1

Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
https://ijnaa.semnan.ac.ir/article_225.html
10.22075/ijnaa.2015.225
1
In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.
0

140
152


Sushanta
Kumar Mohanta
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata700126, West Bengal, India
Iran
mohantawbsu@rediffmail.com


Rima
Maitra
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata700126, West Bengal, India
Iran
rima.maitra.barik@gmail.com
$psi $map
$varphi $map
coupled coincidence point
strongly $(F,g)$invariant set
1

Nonlinear Bayesian prediction of generalized order statistics for liftime models
https://ijnaa.semnan.ac.ir/article_226.html
10.22075/ijnaa.2015.226
1
In this paper, we obtain Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.
0

153
162


Zohreh
Karimi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
Iran
infozohrehkarimi9055@gmail.com


Mohsen
Madadi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
Iran
madadi@uk.ac.ir


Mohsen
Rezapour
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
Iran
mohsenrzp@gmail.com
Bayes predictive estimators
Bayesian prediction intervals
order statistics
record values
$k$record values
generalized order statistics