]>
2018
11
2
ISSN 2008-1898
150
Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\)
Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\)
en
en
In this paper, we are interested in the existence of weak solutions
for the fractional p-Laplacian equation with critical nonlinearity
in \(\mathbb R^N\). By using fractional version of concentration
compactness principle together with variational method, we obtain
the existence and multiplicity of solutions for the above problem.
172
188
Yueqiang
Song
Scientific Research Department
Changchun Normal University
P. R. China
songyq16@mails.jlu.edu.cn
Shaoyun
Shi
School of Mathematics & State Key Laboratory of Automotive Simulation and Control
Jilin University
P. R. China
shisy@mail.jlu.edu.cn
Fractional \(p\)-Laplacian equation
critical nonlinearity
variational method
critical points
Article.1.pdf
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]
Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds
Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds
en
en
In this paper, we present the notion of geodesic sub-\(b\)-\(s\)-convex function on the Riemannian manifolds. A non-trivial example of geodesic sub-\(b\)-\(s\)-convex function but not geodesic convex function is also discussed. Some fundamental properties of geodesic sub-\(b\)-\(s\)-convex functions are investigated. Moreover, we derive the optimality conditions of unconstrained and constrained programming problems under the sub-\(b\)-\(s\)-convexity.
189
197
Izhar
Ahmad
Department of Mathematics and Statistics
King Fahd University of Petroleum and Minerals
Saudi Arabia
drizhar@kfupm.edu.sa
Anurag
Jayswal
Department of Applied Mathematics
Indian Institute of Technology (Indian School of Mines)
India
anurag_jais123@yahoo.com
Babli
Kumari
Department of Applied Mathematics
Indian Institute of Technology (Indian School of Mines)
India
bablichoudhary69@yahoo.com
Geodesic convex set
geodesic sub-\(b\)-\(s\)-convex function
optimality conditions
Riemannian manifolds
Article.2.pdf
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]
Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces
Iterative methods for fixed point problems and generalized split feasibility problems in Banach spaces
en
en
In this paper, we study
the Halpern type iterative algorithm to approximate a common solution of fixed point problems of an infinite family of
demimetric mappings and generalized split feasibility problems with firmly nonexpansive-like mappings in Banach spaces.
We also prove strong convergence theorems for a common solution of the above-said problems by the proposed iterative algorithm and discuss some applications of our
results.
The methods in this paper are novel and different from those given
in many other paper. And the results are the extension and improvement
of the recent results in the literature.
198
217
Yanlai
Song
College of Science
Zhongyuan University of Technology
China
songyanlai2009@163.com
Banach space
generalized split feasibility problem
fixed point
metric resolvent
demimetric mapping
Article.3.pdf
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]
A natural selection of a graphic contraction transformation in fuzzy metric spaces
A natural selection of a graphic contraction transformation in fuzzy metric spaces
en
en
In this paper, we study sufficient conditions
to find a vertex \(v\) of a graph such that \(Tv\) is a terminal vertex of a
path which starts from \(v,\) where \(T\) is a self graphic contraction
transformation defined on the set of vertices. Some examples are presented
to support the results proved herein. Our results widen the scope of various
results in the existing literature.
218
227
Hanan
Alolaiyan
Department of Mathematics
King Saud University
Saudi Arabia
holayan@ksu.edu.sa
Naeem
Saleem
Department of Mathematics
University of Management and Technology
Pakistan
naeem.saleem2@gmail.com
Mujahid
Abbas
Department of Mathematics
Department of Mathematics
Government College University
King Abdulaziz University
Pakistan
Saudi Arabia
mujahid.abbas@up.ac.za
Graphic contraction
fuzzy metric space
natural selection
Article.4.pdf
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]
Integral transforms and partial sums of certain meromorphically \(p\)-valent starlike functions
Integral transforms and partial sums of certain meromorphically \(p\)-valent starlike functions
en
en
In this paper, we introduce two new
subclasses of meromorphically \(p\)-valent starlike functions.
Inclusion relation, integral transforms, and partial sums for each of these classes are discussed.
228
236
Yong-Jie
Liu
Department of Mathematics
Yangzhou University
China
1723549889@qq.com
Jin-Lin
Liu
Department of Mathematics
Yangzhou University
China
jlliu@yzu.edu.cn
Analytic function
meromorphic function
\(p\)-valent function
starlike function
subordination
inclusion relation
integral transforms
partial sum
Article.5.pdf
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[1]
M. K. Aouf, J. Dziok, J. Sokół , On a subclass of strongly starlike functions, Appl. Math. Lett., 24 (2011), 27-32
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N. E. Cho, H. J. Lee, J. H. Park, R. Srivastava, Some applications of the first-order differential subordinations, Filomat, 30 (2016), 1465-1474
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S. Devi, H. M. Srivastava, A. Swaminathan , Inclusion properties of a class of functions involving the Dziok-Srivastava operator, Korean J. Math., 24 (2016), 139-168
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J.-L. Liu, H. M. Srivastava, Y. Yuan, A family of meromorphically functions which are starlike with respect to k-symmetric points, J. Math. Inequal., 11 (2017), 781-798
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H. M. Srivastava, R. M. El-Ashwah, N. Breaz, A certain subclass of multivalent functions involving higher-order derivatives, Filomat, 30 (2016), 113-124
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H. M. Srivastava, S. B. Joshi, S. Joshi, H. Pawar, Coefficient estimates for certain subclasses of meromorphically biunivalent functions, Palest. J. Math., 5 (2016), 250-258
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N.-E. Xu, D.-G. Yang , Some classes of analytic and multivalent functions involving a linear operator , Math. Comput. Modelling, 49 (2009), 955-965
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D.-G. Yang, J.-L. Liu, On functions starlike with respect to k-symmetric points, Houston J. Math., 41 (2015), 445-470
]
Positive solutions for a class of fractional boundary value problems with fractional boundary conditions
Positive solutions for a class of fractional boundary value problems with fractional boundary conditions
en
en
In this paper, we study the solvability of a nonlinear fractional differential equation under fractional integral boundary conditions.
Via a mixed monotone operator method, some new results on the existence and uniqueness of a positive solution for the considered model are obtained. Moreover, we provide iterative sequences for approximating the solution. Some examples are also presented in order to illustrate the obtained result.
237
251
I.
Azman
Department of Mathematics, College of Science
King Saud University
Saudi Arabia
ibtehalazman@yahoo.com
M.
Jleli
Department of Mathematics, College of Science
King Saud University
Saudi Arabia
jleli@ksu.edu.sa
B.
López
Department of Mathematics
rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja
Spain
blopez@dma.ulpgc.es
K.
Sadarangani
Department of Mathematics
rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja
Spain
ksadaran@dma.ulpgc.es
B.
Samet
Department of Mathematics, College of Science
King Saud University
Saudi Arabia
bsamet@ksu.edu.sa
Fractional boundary value problem
fractional integral boundary condition
mixed monotone operator
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Two new Newton-type methods for the nonlinear equations
Two new Newton-type methods for the nonlinear equations
en
en
In this paper, based on the classical Newton method and Halley method,
we propose two new Newton methods for solving the systems of nonlinear equations.
The convergence performances of the two new variants of Newton iteration method are analyzed in details.
Some numerical experiments are also presented to demonstrate the feasibility and efficiency of the proposed methods.
252
262
Ya-Jun
Xie
College of Mathematics and Informatics, Fujian Key Laborotary of Mathematical Analysis and Applications
Department of Mathematics and Physics
Fujian Normal Universit
Fujian Jiangxia University
P. R. China
P. R. China
Na
Huang
College of Mathematics and Informatics, Fujian Key Laborotary of Mathematical Analysis and Applications
Fujian Normal University
P. R. China
Chang-Feng
Ma
College of Mathematics and Informatics, Fujian Key Laborotary of Mathematical Analysis and Applications
Fujian Normal University
P. R. China
macf@fjnu.edu.cn
Systems of nonlinear equations
Newton iteration method
Armijo linear search
convergence analysis
numerical tests
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On the periodic solution of a class of stochastic nonlinear system with delays
On the periodic solution of a class of stochastic nonlinear system with delays
en
en
This paper is devoted to investigating a class of
stochastic nonlinear system with periodic coefficients.
Some criteria on existence
and uniqueness of periodic solution are established for the
stochastic nonlinear system. Finally, a
numerical example is given to show the effectiveness and merits of
the present results.
263
273
Bo
Du
Department of Mathematics
Huaiyin Normal University
P. R. China
dubo7307@163.com
Haiyan
Wang
School of Mathematical and Natural Sciences
Arizona State University
U. S. A.
Haiyan.Wang@asu.edu
Maoxing
Liu
Department of Mathematics
North University of China
P. R. China
liumaoxing@126.com
Xiwang
Cheng
Department of Mathematics
Huaiyin Normal University
P. R. China
chengxiwang68@163.com
Periodic solution
stochastic
Itô's formula
existence
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Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales
Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales
en
en
By employing Krasnoselskii's fixed point theorem, we
establish the existence of nonoscillatory solutions to a class of
third-order neutral functional dynamic equations on time scales. In
addition, the significance of the results is illustrated by three
examples.
274
287
Yang-Cong
Qiu
School of Humanities and Social Science
Shunde Polytechnic
P. R. China
Haixia
Wang
School of Economics
Ocean University of China
P. R. China
Cuimei
Jiang
cSchool of Science
College of Mathematics and Systems Science
Qilu University of Technology
Shandong University of Science and Technology
P. R. China
P. R. China
Tongxing
Li
School of Information Science and Engineering
School of Control Science and Engineering
Linyi University
Shandong University
P. R. China
P. R. China
litongx2007@163.com
Nonoscillatory solution
neutral dynamic equation
third-order
time scale
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Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems
Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems
en
en
In this paper, we introduce a modified two-step viscosity iteration process for total asymptotically nonexpansive mappings in CAT(0) spaces. We prove strong convergence of the proposed iteration process to a fixed point of total asymptotically nonexpansive mappings in CAT(0) spaces, which also shows that the limit of the sequence generated by proposed iteration process solves the solution of the variational inequality. We also provide illustrating a numerical example for supporting our main results. Moreover, we show the existence of solutions of our consequently results for some applications.
288
302
Wiyada
Kumam
Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology
Rajamangala University of Technology Thanyaburi
Thailand
wiyada.kum@rmutt.ac.th
Nuttapol
Pakkaranang
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science
King Mongkut’s University of Technology Thonburi (KMUTT)
Thailand
nuttapol.pak@mail.kmutt.ac.th
Poom
Kumam
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science
KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Facuty of Science
Department of Medical Research
King Mongkut’s University of Technology Thonburi (KMUTT)
King Mongkut’s University of Technology Thonburi (KMUTT)
China Medical University Hospital, China Medical University
Thailand
Thailand
Taiwan
poom.kum@kmutt.ac.th
Viscosity approximation methods
total asymptotically nonexpansive mapping
variational inequality
CAT(0) spaces
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Topological coincidence principles
Topological coincidence principles
en
en
In this paper a number of
general coincidence principles are presented for set valued maps
defined on subsets of completely regular topological spaces.
303
315
Mohamed
Jleli
Department of Mathematics, College of Science
King Saud University
Saudi Arabia
jleli@ksu.edu.sa
Donal
O'Regan
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Ireland
donal.oregan@nuigalway.ie
Bessem
Samet
Department of Mathematics, College of Science
King Saud University
Saudi Arabia
bsamet@ksu.edu.sa
Coincidence points
continuation methods
essential maps
extendability
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]
Remarks to "on strong intuitionistic fuzzy metrics"
Remarks to "on strong intuitionistic fuzzy metrics"
en
en
According to the concept of strong (non-Archimedean) fuzzy metric, in the sense of George and Veeramani, Efe and Yigit have introduced, and studied, the concept of strong intuitionistic fuzzy metric [H. Efe, E. Yigit, J. Nonlinear Sci. Appl., \(\textbf{9}\)(2016), 4016--4038]. In this note we show that all results obtained by the authors are immediate consequences of known results in fuzzy metric setting and a few simple results that we will introduce.
316
322
Valentín
Gregori
Instituto de Matemática Pura y Aplicada
Universitat Politècnica de València, Campus de Gandia
Spain
vgregori@mat.upv.es
Almanzor
Sapena
Instituto de Matemática Pura y Aplicada
Universitat Politècnica de València, Campus de Gandia
Spain
alsapie@mat.upv.es
\(t\)-norm
\(t\)-conorm
(strong) fuzzy metric
(strong) intuitionistic fuzzy metric
Article.12.pdf
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]