]>
2019
12
11
ISSN 2008-1898
65
On stable fixed points under several kinds of strong perturbations
On stable fixed points under several kinds of strong perturbations
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en
This gives new results on stable fixed points related to several kinds of strong perturbations in references. It is shown that a strong stable set of fixed points has a robust stable property. For a robust stable fixed point set of a correspondence, in its neighborhood, there is a strong stable set for any small perturbation of the correspondence. There exists a robust stable set for a correspondence, if there is at least one fixed point for the correspondence. These generalize the corresponding results in recent references and give an application in the existence of strong stable economy equilibria.
699
710
Qi-Qing
Song
College of Science
Guilin University of Technology
China
songqiqing@126.com
Ping
Luo
College of Science
Guilin University of Technology
China
18356639226@163.com
Fixed point
essential stable
robust stable
economy equilibrium
Article.1.pdf
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]
Quasi-effective stability for time-dependent nearly integrable Hamiltonian systems
Quasi-effective stability for time-dependent nearly integrable Hamiltonian systems
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en
This paper deals with the stability of the orbits for time-dependent
nearly integrable Hamiltonian systems. Under the classical
non-degeneracy in KAM theory we prove that the considered system
possesses quasi-effective stability. Our result generalized the
works in [F. Z. Cong, J. L. Hong, H. T. Li, Dyn. Syst. Ser. B, \(\bf 21\) (2016), 67--80] to time-dependent system and gave a connection
between KAM theorem and effective stability.
711
719
Fuzhong
Cong
Fundamental Department
Aviation University of Air Force Changchun
People's Republic of China
congfz67@126.com
Tianchu
Hao
Fundamental Department
Aviation University of Air Force Changchun
People's Republic of China
mrgiant@sina.com
Xue
Feng
Fundamental Department
Aviation University of Air Force Changchun
People's Republic of China
fx20071981@163.com
Quasi-effective stability
non-degeneracy
time-dependent system
Article.2.pdf
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]
Three-Point boundary value problems associated with first order matrix difference system-existence and uniqueness via shortest and closest Lattice vector methods
Three-Point boundary value problems associated with first order matrix difference system-existence and uniqueness via shortest and closest Lattice vector methods
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en
In this paper, we shall be concerned with the existence and uniqueness of solution to three- point boundary value problems associated with a system of first order matrix difference system. Shortest and Closest Lattice vector methods are used as a tool to obtain the best least square solution of the three-point boundary value problem when the characteristic matrix D is rectangular. An efficient decode algorithm is presented to find the shortest and closest vector and prove that this vector is the best least square solution of the three-point boundary value problem.
720
727
Kasi Viswanadh V.
Kanuri
3669 Leatherwood,
USA
vis.kanuri@gmail.com
K. N.
Murty
Department of Applied Mathematics
Andhra University
India
nkanuri@hotmail.com
Matrix difference system
fundamental matrix
closest and shortest vector methods
decode algorithms
Article.3.pdf
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]
Fixed point theorems for generalized JS-quasi-contractions in complete partial \(b\)-metric spaces
Fixed point theorems for generalized JS-quasi-contractions in complete partial \(b\)-metric spaces
en
en
In this paper, we introduce a concept of generalized JS-quasi-contractions and obtain sufficient conditions for the existence of fixed points of such mappings on \(p_b\)-complete partial \(b\)-metric spaces. Our results extend the results in the literature. In addition, an example is given to illustrate and support our main result.
728
739
Panisa
Lohawech
Department of Mathematics, Faculty of Science
Naresuan University
Thailand
panisa.l@hotmail.com
Anchalee
Kaewcharoen
Department of Mathematics, Faculty of Science
Naresuan University
Thailand
anchaleeka@nu.ac.th
Fixed point theorems
partial \(b\)-metric spaces
generalized JS-quasi-contractions
Article.4.pdf
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]
Quasi-arithmetic \(F\)-convex functions and their characterization
Quasi-arithmetic \(F\)-convex functions and their characterization
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en
In this paper we demonstrate that the results presented in the paper [B. Bin-Mohsin, M. A. Noor, K. I. Noor, S. Iftikhar, J. Nonlinear. Sci. Appl., \(\bf 11\) (2018),1070--1076] are not true in general. Moreover, we give some new notions, which could be applied in type problems as in [B. Bin-Mohsin, M. A. Noor, K. I. Noor, S. Iftikhar, J. Nonlinear. Sci. Appl., \(\bf 11\) (2018), 1070--1076].
740
744
Miroslaw
Adamek
Department of Mathematics
University of Bielsko-Biala
Poland
madamek@ath.bielsko.pl
\(F\)-convex function
quasi-arithmetic \(F\)-convex function
quadratic function
quasi-arithmetic quadratic function
Article.5.pdf
[
[1]
M. Adamek, On a problem connected with strongly convex functions, Math. Inequal. Appl., 19 (2016), 1287-1293
##[2]
B. Bin-Mohsin, M. A. Noor, K. I. Noor, S. Iftikhar, Relative strongly harmonic convex functions and their characterizations, J. Nonlinear Sci. Appl., 11 (2018), 1070-1076
]
\(E\)-optimality conditions and Wolfe \(E\)-duality for \(E\)-differentiable vector optimization problems with inequality and equality constraints
\(E\)-optimality conditions and Wolfe \(E\)-duality for \(E\)-differentiable vector optimization problems with inequality and equality constraints
en
en
In this paper, a nonconvex vector optimization problem with both inequality
and equality constraints is considered. The functions constituting it are
not necessarily differentiable, but they are \(E\)-differentiable. The
so-called \(E\)-Fritz John necessary optimality conditions and the so-called \(E\)-Karush-Kuhn-Tucker necessary optimality conditions are established for
the considered \(E\)-differentiable multiobjective programming problems with
both inequality and equality constraints. Further, the sufficient optimality
conditions are derived for such nonconvex nonsmooth vector optimization
problems under (generalized) \(E\)-convexity. The so-called vector \(E\)-Wolfe
dual problem is defined for the considered \(E\)-differentiable multiobjective
programming problem with both inequality and equality constraints and
several dual theorems are established also under (generalized) \(E\)-convexity
hypotheses.
745
764
Tadeusz
Antczak
Faculty of Mathematics and Computer Science
University of Lodz
Poland
tadeusz.antczak@wmii.uni.lodz.pl
Najeeb
Abdulaleem
Department of Mathematics
Hadhramout University
Yemen
nabbas985@gmail.com
\(E\)-differentiable function
\(E\)-Fritz John necessary optimality conditions
\(E\)-Karush-Kuhn-Tucker necessary optimality conditions
\(E\)-Wolfe duality
\(E\)-convex function
Article.6.pdf
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]