]>
2013
6
4
ISSN 2008-1898
77
Existence results for impulsive neutral functional integrodifferential equation with infinite delay
Existence results for impulsive neutral functional integrodifferential equation with infinite delay
en
en
In this paper, we study the existence of mild solutions for a impulsive semilinear neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the Hausdorff
measure of noncompactness. Examples are provided to illustrate the theory.
Impulsive differential equation, Neutral functional differential equation, Mild solution,
Hausdorff measures of noncompactness.
234
243
T.
Gunasekar
School of Advanced Sciences, Fluid Dynamics Division
VIT University
India
gunasekarphd@yahoo.com
F. Paul
Samuel
Department of Mathematics and Physics
University of Eastern Africa
Kenya
paulsamuelphd@yahoo.com
M. Mallika
Arjunan
Department of Mathematics
C. B. M College of Arts and Science
India
arjunphd07@yahoo.co.in
Impulsive differential equation
Neutral functional differential equation
Mild solution
Hausdorff measures of noncompactness.
Article.1.pdf
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]
A fixed point theorem in generalized ordered metric spaces with application
A fixed point theorem in generalized ordered metric spaces with application
en
en
In this paper, we consider the concept of
\(\Omega\)-distance on a complete, partially ordered \(G\)-metric space and
prove a fixed point theorem for (\(\psi,\phi\))-Weak contraction. Then, we present some applications in integral
equations.
244
251
Leila
Gholizadeh
Department of Mathematics
Islamic Azad University (IAU)--Science and Research Branch
Iran
l.gholizade@gmail.com
\(\Omega\)-distance
fixed point
G-metric space
(\(\psi
\phi\))-Weak contraction.
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]
Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation
Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation
en
en
In this work, we consider a viscoelastic wave equation, with strong damping, nonlinear damping and source
terms, with initial and Dirichlet boundary conditions. We will show the exponential growth of solutions
with \(L_p\)- norm if \(2 \leq m < p\).
252
262
Khaled
Zennir
Departement of Mathematics, Faculty of Sciences
University of Djillali Liabes
Algeria
khaledzennir2@yahoo.com
Nonlinear damping
strong damping
viscoelasticity
nonlinear source
exponential growth.
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]
On double fuzzy preuniformity
On double fuzzy preuniformity
en
en
In this study, we introduce the notion of double fuzzy uniform space as a view point of the entourage
approach in a strictly two-sided commutative quantale based on powersets of the form \(L^{X\times X}\). We investigate
the relations between double fuzzy preuniformity, double fuzzy topology, double fuzzy interior operator, and
double fuzzy preproximity.
263
278
Vildan
Çetkin
Department of Mathematics
Kocaeli University
Turkey
vildan.cetkin@kocaeli.edu.tr
Halis
Aygün
Department of Mathematics
Kocaeli University
Turkey
halis@kocaeli.edu.tr
Double fuzzy topology
double fuzzy interior operator
proximity
uniformity.
Article.4.pdf
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]
Fixed point theorems for cyclic weak contractions in compact metric spaces
Fixed point theorems for cyclic weak contractions in compact metric spaces
en
en
The purpose of this paper is to present a fixed point theorem for cyclic weak contractions in compact metric
spaces.
279
284
Jackie
Harjani
Departamento de Matemáticas
Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja
Spain
jharjani@dma.ulpgc.es
Belén
López
Departamento de Matemáticas
Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja
Spain
blopez@dma.ulpgc.es
Kishin
Sadarangani
Departamento de Matemáticas
Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja
Spain
ksadaran@dma.ulpgc.es
Fixed point
weak contraction
cyclic representation.
Article.5.pdf
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[1]
Ya. I. Alber, S. Guerre-Delabriere, Principle of weakly contractive maps in Hilbert space, in: I. Gohberg, Yu. Lyubich (Eds), New Results in Operator Theory, Advances and Appl., Birkhauser. Verlag, 98 (1997), 7-22
##[2]
J. Caballero, J. Harjani, K. Sadarangani , Uniqueness of positive solutions for a class of fourth-order boundary value problems, Abs. Appl. Anal., Article ID 543035, 2011 (2011), 1-13
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E. Karapinar , Fixed point theory for cyclic weak \(\varphi\)-contraction, Appl. Math. Lett., 24 (2011), 822-825
##[4]
M. Pacurar, I. A. Rus , Fixed point theory for cyclic \(\varphi\)-contractions, Nonlinear Anal., 72 (2010), 1181-1187
##[5]
B. E. Rhoades, Some theorems on weakly contractive maps , Nonlinear Anal., 47 (2001), 2683-2693
]
A fixed point theorem in a lattice ordered semigroup cone valued cone metric spaces
A fixed point theorem in a lattice ordered semigroup cone valued cone metric spaces
en
en
In this paper, we introduce the notion of a cone which is a lattice ordered semigroup (l.o.s.g. cone) in a
real Banach space, obtain certain preliminary results on such cones and obtain a fixed point theorem on
a cone metric space with l.o.s.g. cone which eventually extends a result of Filipovic et. al. [M. Filipović,
L. Paunović, S. Radenović and M. Rajović, Math. Compu. Model. 54 (2011), 1467-1472] to cone metric
spaces equipped with l.o.s.g. cone.
285
292
K. P. R.
Sastry
8-28-8/1
India
kprsastry@hotmail.com
Ch. Srinivasa
Rao
Department of Mathematics
Mrs. A. V. N. College
India
drcsr41@yahoo.com
A. Chandra
Sekhar
Department of Mathematics, GIT
Gitam University
India
acs@gitam.edu
M.
Balaiah
Department of Mathematics
Srinivasa Institute of Engineering & Technology
India
balaiah_m19@hotmail.com
Cone metric space
Comparison function
Lattice ordered semigroup
l.o.s.g. cone
Coincidence point
Fixed point.
Article.6.pdf
[
[1]
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On the modular G-metric spaces and fixed point theorems
On the modular G-metric spaces and fixed point theorems
en
en
We introduce the notion of modular G-metric spaces and obtain some fixed point theorems of contractive
mappings defined on modular G-metric spaces.
293
304
Bahareh
Azadifar
Department of Mathematics and Computer Sciences
Hakim Sabzevari University
Iran
bahareazadifar@yahoo.com
Mahnaz
Maramaei
Department of Mathematics and Computer Sciences
Hakim Sabzevari University
Iran
mmaramaiy@yahoo.com
Ghadir
Sadeghi
Department of Mathematics and Computer Sciences
Hakim Sabzevari University
Iran
ghadir54@gmail.com; g.sadeghi@hsu.ac.ir
modular G-metric space
fixed point
contractive mapping.
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Wavelet packet transform on \(L^p (\mathbb{R})\) spaces
Wavelet packet transform on \(L^p (\mathbb{R})\) spaces
en
en
In this paper, we study the characterization of \(L^p (\mathbb{R})\) spaces by using wavelet packet coefficients. We also
drive few results by using wavelet packet transform which generalize some results from the literature.
305
311
Javid
Iqbal
Department of Applied Mathematics
B. G. S. B. University
India
javid2iqbal@yahoo.co.in
Javid
Ali
Department of Mathematics
Birla Institute of Technology & Science, Pilani Campus
India
javid@pilani.bits-pilani.ac.in
Wavelet packet
frame
regularity class and G-function.
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