2021-12-05T16:42:39Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=25
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces
Saurav
Manro
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, {\it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al. [C. ~Alaca, D. ~Turkoglu and C. ~Yildiz, {\it Fixed points in Intuitionistic fuzzy metric spaces}, Chaos Solitons and Fractals, 29 (2006), 1073--1078].
2015
01
29
1
8
https://ijnaa.semnan.ac.ir/article_201_f58c41ff17bb83a4c9147749d69d0d72.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces
B.
Bao
S.
Xu
L.
Shi
V.
Cojbasic Rajic
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), 1254-1260). Furthermore, we give some examples and an application to support our main results.
Fixed point
Cone $b$-metric spaces
Generalized $c$-distance
2015
02
10
9
22
https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Bernstein's polynomials for convex functions and related results
G.
Zabandan
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.
Hermite-Hadamard inequality
Convex functions
Bernstein's polynomials
2015
02
08
23
34
https://ijnaa.semnan.ac.ir/article_175_8e0f105594e1e4289810244121d58b79.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Orthogonal stability of mixed type additive and cubic functional equations
S.
Ostadbashi
J.
Kazemzadeh
In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$ is orthogonality in the sense of Ratz.
Hyers- Ulam- Aoki- Rassias stability
mixed type additive and cubic functional equation
orthogonality space
2015
02
14
35
43
https://ijnaa.semnan.ac.ir/article_176_4ffcc645bd891efc08822c984060eb5b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Statistical uniform convergence in $2$-normed spaces
F.
Amouei Arani
M.
Eshaghi
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) 373--380]. 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.
statistical convergence
statistical uniform convergence
double sequences
$2$-normed space
2015
03
05
44
52
https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Periodic solution for a delay nonlinear population equation with feedback control and periodic external source
P.
Nasertayoob
S. M.
Vaezpour
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.
Schauder's fixed-point theorem
Periodic solution
Population equation
Feedback control
2015
03
13
53
61
https://ijnaa.semnan.ac.ir/article_178_933622795a9724accabc2a92879c60ae.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
S.
Moradi
M.
Mohammadi Anjedani
E.
Analoei
In this paper we investigate the existence and uniqueness for Volterra-Fredholm 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.
Integral equation
partially ordered set
Coupled fixed point
Mixed monotone property
2015
02
17
62
68
https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
A characterization of multiwavelet packets on general lattices
Firdous
Ahmad Shah
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 time-frequency analysis, matrix theory and operator theory.
Multiwavelet
Multiwavelet Packets
General Lattices
Dilation Matrix
2015
03
08
69
84
https://ijnaa.semnan.ac.ir/article_196_556b35b082c222d2a19924cfae41067f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
P.
Papadopoulos
N.L.
Matiadou
A.
Pappas
We discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of Kirchhoff Type \[ u_{tt}-\phi (x)||\nabla u(t)||^{2}\Delta u+\delta u_{t}=|u|^{a}u,\, x \in \mathbb{R}^{N} ,\,t\geq 0\;,\]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 non-negative 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 blows-up 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 \[ u_{tt}=-||A^{1/2}u||^{2}_{H} Au-\delta Au_{t}+f(u) ,\; \; x \in \mathbb{R}^{N}, \;\; t \geq 0\;,\]with the same hypotheses as above, we study the stability of the trivial solution $u\equiv 0$. 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.
quasilinear hyperbolic equations
Global Solution
Blow-Up
Dissipation
Potential Well
Concavity Method
Unbounded Domains
Kirchhoff strings
generalised Sobolev spaces
2015
04
13
85
95
https://ijnaa.semnan.ac.ir/article_220_f07e93852128c32222dc12dc8f60cab7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Remarks on some recent M. Borcut's results in partially ordered metric spaces
Zoran
Kadelburg
Stojan
Radenovic
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), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much shorter proofs. Also, examples are given to support these improvements.
Tripled coincidence point
$g$-monotone property
partially ordered set
2015
05
06
96
104
https://ijnaa.semnan.ac.ir/article_221_623e9d0d4109857fc20da79298fbfb1f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient
Surjan
Singh
Dinesh
Kumar
K.
N Rai
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.
collocation
conductivity
fin
Temperature
transfer
wavelet
2015
03
23
105
118
https://ijnaa.semnan.ac.ir/article_222_ede7db625329bf887c051632ed2c9417.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Free and constrained equilibrium states in a variational problem on a surface
Panayotis
Vyridis
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), 1-10]. In local coordinates, equilibrium points satisfy an elliptic boundary value problem.
Calculus of Variations
Critical points for the Energy Functional
Boundary Value Problem for an Elliptic PDE
Surface
Curvature
2015
04
06
119
134
https://ijnaa.semnan.ac.ir/article_223_a1f8208d0e720dfe30bb5073ee0b5d14.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Approximately $n$-order linear differential equations
Abbas
Javadian
We prove the generalized Hyers--Ulam stability of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ \cdots+p_{n-1}(x)y^{\prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.
Hyers-Ulam stability
Linear differential equation
homogeneous equation
2015
02
20
135
139
https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
Sushanta
Kumar Mohanta
Rima
Maitra
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.
$psi $-map
$varphi $-map
coupled coincidence point
strongly $(F,g)$-invariant set
2015
04
07
140
152
https://ijnaa.semnan.ac.ir/article_225_21bc3a800f116b2a45aa09e7a183eba5.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2015
6
1
Non-linear Bayesian prediction of generalized order statistics for liftime models
Zohreh
Karimi
Mohsen
Madadi
Mohsen
Rezapour
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.
Bayes predictive estimators
Bayesian prediction intervals
order statistics
record values
$k$-record values
generalized order statistics
2015
04
20
153
162
https://ijnaa.semnan.ac.ir/article_226_068e338ca90e599a87222ede4496fd27.pdf