Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
01
29
A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces
1
8
EN
Saurav
Manro
School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab) India
sauravmanro@hotmail.com
10.22075/ijnaa.2015.201
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].
https://ijnaa.semnan.ac.ir/article_201.html
https://ijnaa.semnan.ac.ir/article_201_f58c41ff17bb83a4c9147749d69d0d72.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
02
10
Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces
9
22
EN
B.
Bao
School of Mathematics and Statistics, Hubei Normal University,
Huangshi, 435002, China.
bbg11043218765@126.com
S.
Xu
Department of Mathematics and Statistics, Hanshan
Normal University, Chaozhou, 521041, China.
xushaoyuan@126.com
L.
Shi
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
shilu0701@126.com
V.
Cojbasic Rajic
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
10.22075/ijnaa.2015.174
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
https://ijnaa.semnan.ac.ir/article_174.html
https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
02
08
Bernstein's polynomials for convex functions and related results
23
34
EN
G.
Zabandan
Department of Mathematics,
Faculty of Mathematical Sciences and Computer
Kharazmi University,
50 Taleghani Avenue,
Tehran, 15618, Iran.
zabandan@khu.ac.ir
10.22075/ijnaa.2015.175
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
https://ijnaa.semnan.ac.ir/article_175.html
https://ijnaa.semnan.ac.ir/article_175_8e0f105594e1e4289810244121d58b79.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
02
14
Orthogonal stability of mixed type additive and cubic functional equations
35
43
EN
S.
Ostadbashi
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
s.ostadbashi@urmia.ac.ir
J.
Kazemzadeh
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
kazemzadeh.teacher@gmail.com
10.22075/ijnaa.2015.176
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 <br />Ratz.
Hyers- Ulam- Aoki- Rassias stability,mixed type additive and cubic functional equation,orthogonality space
https://ijnaa.semnan.ac.ir/article_176.html
https://ijnaa.semnan.ac.ir/article_176_4ffcc645bd891efc08822c984060eb5b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
03
05
Statistical uniform convergence in $2$-normed spaces
44
52
EN
F.
Amouei Arani
Department of Mathematics, Payame noor University, Tehran, Iran.
f.amoee@yahoo.com
M.
Eshaghi
Department of Mathematics,
Semnan University, P.O.BOX35195-363, Semnan, Iran.
meshaghi@semnan.ac.ir
10.22075/ijnaa.2015.177
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
https://ijnaa.semnan.ac.ir/article_177.html
https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
03
13
Periodic solution for a delay nonlinear population equation with feedback control and periodic external source
53
61
EN
P.
Nasertayoob
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
nasertayoob@aut.ac.ir
S. M.
Vaezpour
null
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
vaez@aut.ac.ir
10.22075/ijnaa.2015.178
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
https://ijnaa.semnan.ac.ir/article_178.html
https://ijnaa.semnan.ac.ir/article_178_933622795a9724accabc2a92879c60ae.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
02
17
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
62
68
EN
S.
Moradi
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
s-moradi@araku.ac.ir
M.
Mohammadi Anjedani
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
mm_math67@yahoo.com
E.
Analoei
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
e.analoei@ymail.com
10.22075/ijnaa.2015.179
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
https://ijnaa.semnan.ac.ir/article_179.html
https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
03
08
A characterization of multiwavelet packets on general lattices
69
84
EN
Firdous
Ahmad Shah
Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India.
10.22075/ijnaa.2015.196
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.<br /><br />
Multiwavelet,Multiwavelet Packets,General Lattices,Dilation Matrix
https://ijnaa.semnan.ac.ir/article_196.html
https://ijnaa.semnan.ac.ir/article_196_556b35b082c222d2a19924cfae41067f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
04
13
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
85
95
EN
P.
Papadopoulos
adepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, 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
lmatiadou@yahoo.gr
A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece.
10.22075/ijnaa.2015.220
We discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of Kirchhoff Type <br />[ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+delta u_{t}=|u|^{a}u,, x in mathbb{R}^{N} ,,tgeq 0;,]<br /><br />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.<br /><br />Finally, for the generalized dissipative Kirchhoff's String problem<br /> [ u_{tt}=-||A^{1/2}u||^{2}_{H} Au-delta Au_{t}+f(u) ,; ; x in mathbb{R}^{N}, ;; t geq 0;,]<br />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.
quasilinear hyperbolic equations,Global Solution,Blow-Up,Dissipation,Potential Well,Concavity Method,Unbounded Domains,Kirchhoff strings,generalised Sobolev spaces
https://ijnaa.semnan.ac.ir/article_220.html
https://ijnaa.semnan.ac.ir/article_220_f07e93852128c32222dc12dc8f60cab7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
05
06
Remarks on some recent M. Borcut's results in partially ordered metric spaces
96
104
EN
Zoran
Kadelburg
University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, 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
fixedpoint50@gmail.com
10.22075/ijnaa.2015.221
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
https://ijnaa.semnan.ac.ir/article_221.html
https://ijnaa.semnan.ac.ir/article_221_623e9d0d4109857fc20da79298fbfb1f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
03
23
Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient
105
118
EN
Surjan
Singh
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
surjan.singhbhu@gmail.com
Dinesh
Kumar
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
dineshaukumar@gmail.com
K.
N Rai
Department of Mathematical Science IIT BHU, Varanasi 221005, India
knrai.apm@itbhu.ac.in
10.22075/ijnaa.2015.222
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
https://ijnaa.semnan.ac.ir/article_222.html
https://ijnaa.semnan.ac.ir/article_222_ede7db625329bf887c051632ed2c9417.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
04
06
Free and constrained equilibrium states in a variational problem on a surface
119
134
EN
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.
pvyridis@gmail.com
10.22075/ijnaa.2015.223
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
https://ijnaa.semnan.ac.ir/article_223.html
https://ijnaa.semnan.ac.ir/article_223_a1f8208d0e720dfe30bb5073ee0b5d14.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
02
20
Approximately $n$-order linear differential equations
135
139
EN
Abbas
Javadian
Semnan University, P.O. Box 35195-363, Semnan, Iran
ajavadian@semnan.ac.ir
10.22075/ijnaa.2015.224
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
https://ijnaa.semnan.ac.ir/article_224.html
https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
04
07
Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
140
152
EN
Sushanta
Kumar Mohanta
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, India
mohantawbsu@rediffmail.com
Rima
Maitra
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, India
rima.maitra.barik@gmail.com
10.22075/ijnaa.2015.225
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
https://ijnaa.semnan.ac.ir/article_225.html
https://ijnaa.semnan.ac.ir/article_225_21bc3a800f116b2a45aa09e7a183eba5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
6
1
2015
04
20
Non-linear Bayesian prediction of generalized order statistics for liftime models
153
162
EN
Zohreh
Karimi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
infozohrehkarimi9055@gmail.com
Mohsen
Madadi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
madadi@uk.ac.ir
Mohsen
Rezapour
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
mohsenrzp@gmail.com
10.22075/ijnaa.2015.226
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
https://ijnaa.semnan.ac.ir/article_226.html
https://ijnaa.semnan.ac.ir/article_226_068e338ca90e599a87222ede4496fd27.pdf