Arabian Journal of Mathematics
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Scalarized black holes
Arabian Journal of Mathematics - Tập 11 - Trang 17-30 - 2021
Black holes represent outstanding astrophysical laboratories to test the strong gravity regime, since alternative theories of gravity may predict black hole solutions whose properties may differ distinctly from those of general relativity. When higher curvature terms are included in the gravitational action as, for instance, in the form of the Gauss–Bonnet term coupled to a scalar field, scalarize......
Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators
Arabian Journal of Mathematics - Tập 1 - Trang 549-568 - 2012
A new iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, the set of common fixed points of two countable families of weak relatively nonexpansive mappings and the set of zeros of a maximal monotone operator in Banach spaces. The results obtained in this paper generalize......
Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach
Arabian Journal of Mathematics - Tập 8 - Trang 163-170 - 2019
Linearization criteria for two-dimensional systems of second-order ordinary differential equations (ODEs) have been derived earlier using complex symmetry analysis. For such systems, the linearizable form, linearization criteria and symmetry group classification are presented. In this paper, we extend the complex approach to obtain a complex-linearizable form of two-dimensional systems of third-or......
On dynamic coloring of certain cycle-related graphs
Arabian Journal of Mathematics - Tập 9 - Trang 213-221 - 2018
Coloring the vertices of a particular graph has often been motivated by its utility to various applied fields and its mathematical interest. A dynamic coloring of a graph G is a proper coloring of the vertex set V(G) such that for each vertex of degree at least 2, its neighbors receive at least two distinct colors. A dynamic k-coloring of a graph is a dynamic coloring with k colors. A dynamic k-co......
Bubbling phenomena in calculus of variations
Arabian Journal of Mathematics - Tập 6 - Trang 213-237 - 2016
This paper is a survey on bubbling phenomena occurring in some geometric problems. We present here a few problems from conformal geometry, gauge theory and contact geometry and we give the main ideas of the proofs and important results. We focus in particular on the Yamabe type problems and the Weinstein conjecture, where A. Bahri made a huge contribution by introducing new methods in variational ......
Holomorphic connections on holomorphic bundles on Riemann surfaces
Arabian Journal of Mathematics - Tập 10 - Trang 285-299 - 2021
We investigate aspects of holomorphic connections on holomorphic principal bundles over a Riemann surface.
Coupled nonlinear Schrödinger equations with harmonic potential
Arabian Journal of Mathematics - Tập 7 - Trang 195-218 - 2017
The initial value problem for a coupled nonlinear Schrödinger system with unbounded potential is investigated. In the defocusing case, global well-posedness is obtained. In the focusing case, the existence and stability/instability of standing waves are established. Moreover, global well-posedness is discussed via the potential well method.
Turán type inequalities for the q-exponential functions
Arabian Journal of Mathematics - Tập 6 - Trang 309-314 - 2017
In this paper, our aim is to deduce some sharp Turán type inequalities for the remainder q-exponential functions. Our results are shown to be generalizations of results which were obtained by Alzer (Arch Math 55, 462–464, 1990).
$$v_c$$-Noetherian domains and Krull domainsAbstract Let D be an integrally closed domain, $$\{V_{\alpha }\}$$
{
V
α
}
t -linked valuation overrings of D , and $$v_c$$
v
c
D defined by $$I^{v_c} = \bigcap _{\alpha } IV_{\alpha }$$
I
v
c
=
⋂
α
I
V
α
I of D . In this paper, among other things, we prove that D is a $$v_c$$ hiện toàn bộ
Arabian Journal of Mathematics - - 2021
Solving Yosida inclusion problem in Hadamard manifold
Arabian Journal of Mathematics - Tập 9 - Trang 357-366 - 2019
We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion probl......
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