2017
3
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89
Stability Results for Neutral IntegroDifferential Equations with Multiple Functional Delays
2
2
Necessary and sufficient conditions for the zero solution of the nonlinear neutral integrodifferential equationbegin{eqnarray*}&&frac{d}{dt}Big(r(t)Big[x(t)+Q(t, x(tg_1(t)),...,x(tg_N(t)))Big]Big)\ &&= a(t)x(t)+ sum^{N}_{i=1}int^{t}_{tg_i(t)}k_i(t,s)f_i(x(s))ds end{eqnarray*} to be asymptotically stable are obtained. In the process we invert the integrodifferential equation and obtain an equivalent integral equation. The contraction mapping principle is used as the main mathematical tool for establishing the necessary and sufficient conditions.
1

1
11


Ernest
Yankson
Department of Mathematics and Statistics, University of Cape Coast, Cape
Coast, Ghana.
Department of Mathematics and Statistics,
Ghana
ernestoyank@gmail.com
Stability
integrodifferential equation
functional delay
Periodic Solutions for ThirdOrder Nonlinear Delay Differential Equations with Variable Coefficients
2
2
In this paper, the following thirdorder nonlinear delay differential equationwith periodic coefficients%begin{align*}& x^{primeprimeprime}(t)+p(t)x^{primeprime}(t)+q(t)x^{prime}(t)+r(t)x(t)\& =fleft( t,xleft( tright) ,x(ttau(t))right) +frac{d}{dt}gleft(t,xleft( ttauleft( tright) right) right) ,end{align*}is considered. By employing Green's function, Krasnoselskii's fixed pointtheorem and the contraction mapping principle, we state and prove theexistence and uniqueness of periodic solutions to the thirdorder nonlineardelay differential equation.
1

12
21


Abdelouaheb
Ardjouni
Department of Mathematics and Informatics, University of Souk Ahras, P.O.
Box 1553, Souk Ahras, 41000, Algeria.
Department of Mathematics and Informatics,
Algeria
abd_ardjouni@yahoo.fr


Farid
Nouioua
Department of Mathematics and Informatics, University of Souk Ahras, P.O.
Box 1553, Souk Ahras, 41000, Algeria.
Department of Mathematics and Informatics,
Algeria
fnouioua@gmail.com


Ahcene
Djoudi
Department of Mathematics, University of Annaba, P.O. Box 12, Annaba,
23000, Algeria.
Department of Mathematics, University of
Algeria
adjoudi@yahoo.com
fixed point
periodic solutions
thirdorder nonlinear delay differential equations
Operators Reversing Orthogonality and Characterization of Inner Product Spaces
2
2
In this short paper we answer a question posed by Chmieliński in [Adv. Oper. Theory, 1 (2016), no. 1, 814]. Namely, we prove that among normed spaces of dimension greater than two,only inner product spaces admit nonzero linear operators which reverse the Birkhoff orthogonality.
1

22
24


Paweł
Wójcik
Institute of Mathematics, Pedagogical University of Cracow, Podchorążych
2, 30084 Kraków, Poland.
Institute of Mathematics, Pedagogical University
Poland
pwojcik@up.krakow.pl
Birkhoff orthogonality
orthogonality reversing mappings
characterizations of inner product spaces
Certain Properties of a Subclass of Univalent Functions With Finitely Many Fixed Coefficients
2
2
In this paper a new class of analytic, univalent and normalized functions with finitely many fixed coefficients is defined. Properties like coefficient condition, radii of starlikeness and convexity, extreme points and integral operators applied to functions in the class are investigated.
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25
32


S.Sunil
Varma
Department of Mathematics, Madras Christian College, Tambaram,
Chennai600059, Tamil Nadu, India
Department of Mathematics, Madras Christian
India
sunilvarma@mcc.edu.in


Thomas
Rosy
Department of Mathematics, Madras Christian College, Tambaram,
Chennai600059, Tamil Nadu, India
Department of Mathematics, Madras Christian
India
thomas.rosy@gmail.com
Analytic function
univalent function
fixed coefficient
Extreme point
On ParaSasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection
2
2
In this article, the aim is to introduce a paraSasakian manifold with acanonical paracontact connection. It is shown that $varphi$conharmonically flat, $varphi $$W_{2}$ flat and $varphi $pseudo projectively flat paraSasakian manifolds with respect to canonical paracontact connection are all $eta $Einsteinmanifolds. Also, we prove that quasipseudo projectively flatparaSasakian manifolds are of constant scalar curvatures.
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33
43


Selcen
Yüksel Perktaş
Faculty of Arts and Science, Department of Mathematics, Adıyaman University, Adıyaman, Turkey
Faculty of Arts and Science, Department of
Turkey
sperktas@adiyaman.edu.tr
Canonical connection
paracontact metric structure
normal structure
Approximation for a SummationIntegral Type Link Operators
2
2
The present article deals with the general family of summationintegral type operators. Here, we propose the Durrmeyer variant of the generalized Lupaş operators considered by Abel and Ivan (General Math. 15 (1) (2007) 2134) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of convergence for absolutely continuous functions having a derivative equivalent with a function of bounded variation.
1

44
60


Arun
Kajla
Department of Mathematics, Central University of Haryana, Haryana123031,
India.
Department of Mathematics, Central University
India
rachitkajla47@gmail.com
Global approximation
Rate of convergence
Modulus of continuity
bounded variation
Ostrowski's Inequality for Functions whose First Derivatives are $s$Preinvex in the Second Sense
2
2
In this paper, we establish some new Ostrowski type inequalities forfunctions whose first derivatives are $s$preinvex in the second sense.
1

61
80


Badreddine
Meftah
Laboratoire des t'el'ecommunications, Facult'e des
Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box
401, 24000 Guelma, Algeria.
Laboratoire des t'el'ecommunications,
Algeria
badrimeftah@yahoo.fr
Ostrowski inequality
midpoint inequality
H"{o}lder inequality
power mean inequality
preinvex functions
$s$preinvex functions
Proximal Point Algorithms for Numerical Reckoning Fixed Points of HybridType Multivalued Mappings in Hilbert Spaces
2
2
In this paper, we propose a new iteration process to approximateminimizers of proper convex and lower semicontinuous functions andfixed points of $lambda$hybrid multivalued mappings in Hilbertspaces. We also provide an example to illustrate the convergencebehavior of the proposed iteration process and numerically comparethe convergence of the proposed iteration scheme with the existingschemes.
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81
89


Kritsada
Lerkchaiyaphum
Department of Mathematics, Faculty of Science and Technology, Nakhon
Pathom Rajabhat University, Nakhon Pathom 73000, Thailand.
Department of Mathematics, Faculty of Science
Thailand
a_krit2@hotmail.com


Withun
Phuengrattana
Research Center for Pure and Applied Mathematics, Research and Development Institute, Nakhon Pathom Rajabhat University, Nakhon Pathom 73000,
Thailand.
Research Center for Pure and Applied Mathematics,
Thailand
withun_ph@yahoo.com
Proximal point algorithm
hybrid multivalued mapping
Ishikawa iteration
Siteration
Hilbert spaces