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Nov 28, 2018Open    AccessArticle

On Almost Pretopological Vector Spaces

Shallu Sharma, Madhu Ram, Sahil Billawria
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
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Jul 19, 2018Open    AccessArticle

Fixed Point Results of Contractive Mappings by Altering Distances and C-Class Functions in b-Dislocated Metric Spaces

Jani Dine, Kastriot Zoto, Arslan H. Ansari
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
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Apr 08, 2018Open    AccessArticle

The Sun’s Movement in the Sky Now and in the Past

Joseph J. Smulsky
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
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Dec 19, 2017Open    AccessArticle

Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.

Jean-Claude Guillot
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
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May 23, 2017Open    AccessArticle

Results on Generalized Quasi Contraction Random Operators

Salwa Salman Abed, Saheb K. Alsaidy, Yusra Jarallah Ajeel
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
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Jul 10, 2015Open    AccessArticle

Multilayer Coulomb Structures: Mathematical Principia of Microcosm Mechanics

Joseph J. Smulsky
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

Elements of Real Hilbert Spaces Theory

Daniel Sepunaru
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...


Sep 26, 2014Open    AccessArticle

Axisymmetric Coulomb Interaction and Research of Its Stability by System Galactica

Joseph J. Smulsky
Indeterministic consideration of micro-world based on quantum mechanics has resulted in its probabilistic understanding. At the same time the study of the micro-world based on Coulomb interactions in some cases gives deterministic view of it. However, at this way it is necessary to solve complex problems of many particles interaction. The program Galactica have to be developed for the numerical solution with high accuracy gravitational problems of many-bodies. The paper considers a modification ...


Sep 22, 2014Open    AccessArticle

On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

Ayhan Esi, Vakeel A. Khan
The main purpose of this paper is to introduce the sequence space cesF(f, p) of sequence of fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems have been discussed.


Sep 19, 2014Open    AccessArticle

Quasinilpotent Part of w-Hyponormal Operators

Mohammad Rashid
For a w-hyponormal operator T acting on a separable complex Hilbert space H, we prove that: 1) the quasi-nilpotent part Ho(- λ) is equal to...


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