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