A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces
Saurav
Manro
School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab) India
author
text
article
2015
eng
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].
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
1
8
https://ijnaa.semnan.ac.ir/article_201_f58c41ff17bb83a4c9147749d69d0d72.pdf
dx.doi.org/10.22075/ijnaa.2015.201
Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces
B.
Bao
School of Mathematics and Statistics, Hubei Normal University,
Huangshi, 435002, China.
author
S.
Xu
Department of Mathematics and Statistics, Hanshan
Normal University, Chaozhou, 521041, China.
author
L.
Shi
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
author
V.
Cojbasic Rajic
Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
9
22
https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdf
dx.doi.org/10.22075/ijnaa.2015.174
Bernstein's polynomials for convex functions and related results
G.
Zabandan
Department of Mathematics,
Faculty of Mathematical Sciences and Computer
Kharazmi University,
50 Taleghani Avenue,
Tehran, 15618, Iran.
author
text
article
2015
eng
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
23
34
https://ijnaa.semnan.ac.ir/article_175_8e0f105594e1e4289810244121d58b79.pdf
dx.doi.org/10.22075/ijnaa.2015.175
Orthogonal stability of mixed type additive and cubic functional equations
S.
Ostadbashi
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
author
J.
Kazemzadeh
Department of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
35
43
https://ijnaa.semnan.ac.ir/article_176_4ffcc645bd891efc08822c984060eb5b.pdf
dx.doi.org/10.22075/ijnaa.2015.176
Statistical uniform convergence in $2$-normed spaces
F.
Amouei Arani
Department of Mathematics, Payame noor University, Tehran, Iran.
author
M.
Eshaghi
Department of Mathematics,
Semnan University, P.O.BOX35195-363, Semnan, Iran.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
44
52
https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf
dx.doi.org/10.22075/ijnaa.2015.177
Periodic solution for a delay nonlinear population equation with feedback control and periodic external source
P.
Nasertayoob
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
author
S. M.
Vaezpour
Dept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
53
61
https://ijnaa.semnan.ac.ir/article_178_933622795a9724accabc2a92879c60ae.pdf
dx.doi.org/10.22075/ijnaa.2015.178
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
S.
Moradi
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
author
M.
Mohammadi Anjedani
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
author
E.
Analoei
Department of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
62
68
https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdf
dx.doi.org/10.22075/ijnaa.2015.179
A characterization of multiwavelet packets on general lattices
Firdous
Ahmad Shah
Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
69
84
https://ijnaa.semnan.ac.ir/article_196_556b35b082c222d2a19924cfae41067f.pdf
dx.doi.org/10.22075/ijnaa.2015.196
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
P.
Papadopoulos
adepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, greece
author
N.L.
Matiadou
Department of Electronics Engineering, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece
author
A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
85
95
https://ijnaa.semnan.ac.ir/article_220_f07e93852128c32222dc12dc8f60cab7.pdf
dx.doi.org/10.22075/ijnaa.2015.220
Remarks on some recent M. Borcut's results in partially ordered metric spaces
Zoran
Kadelburg
University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia
author
Stojan
Radenovic
Faculty of Mathematics and Information Technology Teacher Education, Dong
Thap University, Cao Lanch City, Dong Thap Province, Viet Nam
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
96
104
https://ijnaa.semnan.ac.ir/article_221_623e9d0d4109857fc20da79298fbfb1f.pdf
dx.doi.org/10.22075/ijnaa.2015.221
Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient
Surjan
Singh
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
author
Dinesh
Kumar
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., India
author
K.
N Rai
Department of Mathematical Science IIT BHU, Varanasi 221005, India
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
105
118
https://ijnaa.semnan.ac.ir/article_222_ede7db625329bf887c051632ed2c9417.pdf
dx.doi.org/10.22075/ijnaa.2015.222
Free and constrained equilibrium states in a variational problem on a surface
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.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
119
134
https://ijnaa.semnan.ac.ir/article_223_a1f8208d0e720dfe30bb5073ee0b5d14.pdf
dx.doi.org/10.22075/ijnaa.2015.223
Approximately $n$-order linear differential equations
Abbas
Javadian
Semnan University, P.O. Box 35195-363, Semnan, Iran
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
135
139
https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf
dx.doi.org/10.22075/ijnaa.2015.224
Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
Sushanta
Kumar Mohanta
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, India
author
Rima
Maitra
West Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, India
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
140
152
https://ijnaa.semnan.ac.ir/article_225_21bc3a800f116b2a45aa09e7a183eba5.pdf
dx.doi.org/10.22075/ijnaa.2015.225
Non-linear Bayesian prediction of generalized order statistics for liftime models
Zohreh
Karimi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
author
Mohsen
Madadi
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
author
Mohsen
Rezapour
Department of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.
author
text
article
2015
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
6
v.
1
no.
2015
153
162
https://ijnaa.semnan.ac.ir/article_226_068e338ca90e599a87222ede4496fd27.pdf
dx.doi.org/10.22075/ijnaa.2015.226