Oct 16, 2020Open AccessArticle
Since nonlinear schur theorem was proposed, it broke the limitation of linear operator matrices. And in this paper we study the summability theory for a class of matrices of nonlinear mapping, and the characterizations of a class of infinite matrix transformations are obtained. These results enrich the results on infinite matrices transformations, and have important meaning for the study of Banach space.
Dec 24, 2019Open AccessArticle
In this paper, we prove fixed point theorems of a generalization which is related to the concept of Meir-Keeler function in a complete b2-metric space. And we know it extends and generalizes some known results in metric space to b2-metric space.
Aug 29, 2019Open AccessArticle
For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section two, where, the integration of trigono-metric function with power n has been achieved and approved, this result is considered as the first achievement. while in the third section we find integrals
Nov 28, 2018Open AccessArticle
In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using regular open sets and pre-open sets. The relationships of almost pretopological vector spaces with certain other types of spaces are provided. Along with some useful results, it is proved that in
Jul 19, 2018Open AccessArticle
In this work, we recall definition of functions
called as C-class and use the
concepts of dislocated metric, b-dislocated metric, altering distance function.
We prove some coincidence, fixed and common fixed point results for two pairs
of weakly compatible mappings under-contractive conditions and contractive conditions
depended on another function T
Apr 08, 2018Open AccessArticle
The paper considers the theory of the phenomena associated with the Sun’s passage in the sky when the parameters of the orbital and rotational motion of the Earth are changing. The author found that the obliquity changes from 14.8° to 32.1°. These results explain the variations of paleoclimate and are consistent with several testimonies of paleoastronomy. The program SunPhenomn.mcd developed in MathCad to calculate the duration of
Dec 19, 2017Open AccessArticle
In this paper we
consider a mathematical model for the inverse β decay
in a uniform magnetic field. With this model we associate a Hamiltonian with
cutoffs in an appropriate Fock space. No infrared regularization is assumed.
The Hamiltonian is self-adjoint and has a unique ground state. We study the
essential spectrum and de
May 23, 2017Open AccessArticle
In this paper, we prove the existence of common
random fixed point for two random operators under general quasi contraction
condition in a complete p-normed space X (with whose dual separates the point
of X). Also, the
Jul 10, 2015Open AccessArticle
The problem of a rotating planar multilayer structure with Coulomb
interaction is formulated in the paper. The absence of solutions of the problem
is proven. Based on this problem the method of constructing planar structures
with differential rotation of the layers is developed. A number of structures
are received and their dynamics and stability are studied by numerical methods
with assistance of the system Galactica. The planar structures are unstable. Identified
ways are found to improve the ...
May 28, 2015Open AccessArticle
We discuss an alternative version of non-relativistic Newtonian mechanics
in terms of real Hilbert space mathematical framework. It is demonstrated that
the physics of this scheme is in accordance with the standard formulation.
Heisenberg-Schrodinger non-relativistic quantum mechanics is considered adequate
and complete. Since the suggested theory is dispersion free, linear superposition
principle is not violated but cannot affect results of measurements due to
spectral decomposition theorem for...