eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-01-29
6
1
1
8
10.22075/ijnaa.2015.201
201
A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces
Saurav Manro
sauravmanro@hotmail.com
1
School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab) India
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_f58c41ff17bb83a4c9147749d69d0d72.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-02-10
6
1
9
22
10.22075/ijnaa.2015.174
174
Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces
B. Bao
bbg11043218765@126.com
1
S. Xu
xushaoyuan@126.com
2
L. Shi
shilu0701@126.com
3
V. Cojbasic Rajic
4
School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China.
Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, China.
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
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.
https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdf
Fixed point
Cone $b$-metric spaces
Generalized $c$-distance
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-02-08
6
1
23
34
10.22075/ijnaa.2015.175
175
Bernstein's polynomials for convex functions and related results
G. Zabandan
zabandan@khu.ac.ir
1
Department of Mathematics, Faculty of Mathematical Sciences and Computer Kharazmi University, 50 Taleghani Avenue, Tehran, 15618, Iran.
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.
https://ijnaa.semnan.ac.ir/article_175_8e0f105594e1e4289810244121d58b79.pdf
Hermite-Hadamard inequality
Convex functions
Bernstein's polynomials
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-02-14
6
1
35
43
10.22075/ijnaa.2015.176
176
Orthogonal stability of mixed type additive and cubic functional equations
S. Ostadbashi
s.ostadbashi@urmia.ac.ir
1
J. Kazemzadeh
kazemzadeh.teacher@gmail.com
2
Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.
Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.
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.
https://ijnaa.semnan.ac.ir/article_176_4ffcc645bd891efc08822c984060eb5b.pdf
Hyers- Ulam- Aoki- Rassias stability
mixed type additive and cubic functional equation
orthogonality space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-03-05
6
1
44
52
10.22075/ijnaa.2015.177
177
Statistical uniform convergence in $2$-normed spaces
F. Amouei Arani
f.amoee@yahoo.com
1
M. Eshaghi
meshaghi@semnan.ac.ir
2
Department of Mathematics, Payame noor University, Tehran, Iran.
Department of Mathematics, Semnan University, P.O.BOX35195-363, Semnan, Iran.
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.
https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf
statistical convergence
statistical uniform convergence
double sequences
$2$-normed space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-03-13
6
1
53
61
10.22075/ijnaa.2015.178
178
Periodic solution for a delay nonlinear population equation with feedback control and periodic external source
P. Nasertayoob
nasertayoob@aut.ac.ir
1
S. M. Vaezpour
vaez@aut.ac.ir
2
Dept. of Math., Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box 15914, Tehran, Iran.
Dept. of Math., Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box 15914, Tehran, Iran.
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.
https://ijnaa.semnan.ac.ir/article_178_933622795a9724accabc2a92879c60ae.pdf
Schauder's fixed-point theorem
Periodic solution
Population equation
Feedback control
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-02-17
6
1
62
68
10.22075/ijnaa.2015.179
179
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
S. Moradi
s-moradi@araku.ac.ir
1
M. Mohammadi Anjedani
mm_math67@yahoo.com
2
E. Analoei
e.analoei@ymail.com
3
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
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.
https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdf
Integral equation
partially ordered set
Coupled fixed point
Mixed monotone property
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-03-08
6
1
69
84
10.22075/ijnaa.2015.196
196
A characterization of multiwavelet packets on general lattices
Firdous Ahmad Shah
1
Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India.
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 />
https://ijnaa.semnan.ac.ir/article_196_556b35b082c222d2a19924cfae41067f.pdf
Multiwavelet
Multiwavelet Packets
General Lattices
Dilation Matrix
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-04-13
6
1
85
95
10.22075/ijnaa.2015.220
220
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
P. Papadopoulos
ppapadop@teipir.gr
1
N.L. Matiadou
lmatiadou@yahoo.gr
2
A. Pappas
3
adepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, greece
Department of Electronics Engineering, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece.
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.
https://ijnaa.semnan.ac.ir/article_220_f07e93852128c32222dc12dc8f60cab7.pdf
quasilinear hyperbolic equations
Global Solution
Blow-Up
Dissipation
Potential Well
Concavity Method
Unbounded Domains
Kirchhoff strings
generalised Sobolev spaces
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-05-06
6
1
96
104
10.22075/ijnaa.2015.221
221
Remarks on some recent M. Borcut's results in partially ordered metric spaces
Zoran Kadelburg
kadelbur@matf.bg.ac.rs
1
Stojan Radenovic
fixedpoint50@gmail.com
2
University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia
Faculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanch City, Dong Thap Province, Viet Nam
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.
https://ijnaa.semnan.ac.ir/article_221_623e9d0d4109857fc20da79298fbfb1f.pdf
Tripled coincidence point
$g$-monotone property
partially ordered set
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-03-23
6
1
105
118
10.22075/ijnaa.2015.222
222
Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient
Surjan Singh
surjan.singhbhu@gmail.com
1
Dinesh Kumar
dineshaukumar@gmail.com
2
K. N Rai
knrai.apm@itbhu.ac.in
3
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
Department of Mathematical Science IIT BHU, Varanasi 221005, India
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.
https://ijnaa.semnan.ac.ir/article_222_ede7db625329bf887c051632ed2c9417.pdf
collocation
conductivity
fin
Temperature
transfer
wavelet
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-04-06
6
1
119
134
10.22075/ijnaa.2015.223
223
Free and constrained equilibrium states in a variational problem on a surface
Panayotis Vyridis
pvyridis@gmail.com
1
Department of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z) P. C. 098160, Zacatecas, Mexico.
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.
https://ijnaa.semnan.ac.ir/article_223_a1f8208d0e720dfe30bb5073ee0b5d14.pdf
Calculus of Variations
Critical points for the Energy Functional
Boundary Value Problem for an Elliptic PDE
Surface
Curvature
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-02-20
6
1
135
139
10.22075/ijnaa.2015.224
224
Approximately $n$-order linear differential equations
Abbas Javadian
ajavadian@semnan.ac.ir
1
Semnan University, P.O. Box 35195-363, Semnan, Iran
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.
https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf
Hyers-Ulam stability
Linear differential equation
homogeneous equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-04-07
6
1
140
152
10.22075/ijnaa.2015.225
225
Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
Sushanta Kumar Mohanta
smwbes@yahoo.in
1
Rima Maitra
rima.maitra.barik@gmail.com
2
West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India
West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India
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.
https://ijnaa.semnan.ac.ir/article_225_21bc3a800f116b2a45aa09e7a183eba5.pdf
$psi $-map
$varphi $-map
coupled coincidence point
strongly $(F,g)$-invariant set
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-04-20
6
1
153
162
10.22075/ijnaa.2015.226
226
Non-linear Bayesian prediction of generalized order statistics for liftime models
Zohreh Karimi
infozohrehkarimi9055@gmail.com
1
Mohsen Madadi
madadi@uk.ac.ir
2
Mohsen Rezapour
mohsenrzp@gmail.com
3
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, kerman, Iran.
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, kerman, Iran.
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, kerman, Iran.
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.
https://ijnaa.semnan.ac.ir/article_226_068e338ca90e599a87222ede4496fd27.pdf
Bayes predictive estimators
Bayesian prediction intervals
order statistics
record values
$k$-record values
generalized order statistics