OALib Journal
  OALib Journal is an all-in-one open access journal (ISSN Print: 2333-9705, ISSN Online: 2333-9721). It accepts a manuscript for the peer-review processing, typesetting, publication and then allocated to one of the 322 subject areas. The article processing charge for publishing in OALib journal is Only $99. For more details, please contact service@oalib.com. Submit now
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Oct 16, 2020Open    AccessArticle

Operator Matrices on Banach Spaces

Nan Hua, Ning Kang, Huan Liao
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.
Open Access Library J. Vol.7, 2020

Dec 24, 2019Open    AccessArticle

Fixed Point Theorem for Meir-Keeler Type Function in b2-Metric Spaces

Zhuoyi Tian, Jinxing Cui, Linan Zhong
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.
Open Access Library J. Vol.6, 2019

Aug 29, 2019Open    AccessArticle

The Power Integrations of Trigonometric and Hyperbolic Functions

Ahmed M. Ali, Omar M. Abd-Alkanee
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
Open Access Library J. Vol.6, 2019

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
Open Access Library J. Vol.5, 2018

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
Open Access Library J. Vol.5, 2018

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
Open Access Library J. Vol.5, 2018

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
Open Access Library J. Vol.4, 2017

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
Open Access Library J. Vol.4, 2017

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 ...
Open Access Library J. Vol.2, 2015

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...
Open Access Library J. Vol.2, 2015


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