New results of tw-normed approach space

IF 1.1 Q1 MATHEMATICS
Maysoon A. Neamah, Boushra Y. Hussein
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引用次数: 0

Abstract

In this paper, a improved convergence theorem, focal point, tw-Cauchy series, tw-convergent, tw-precision and sequential reduction in tw-approach space are defined and studied. The necessity of achieving the contraction condition in order to get the sequential contraction function is also shown. Moreover, a new structure for the norm in tw-approach space is put, which is called tw-approach-Banach space. Furthermore, tw-approach normed space with uniform condition are given to be a Hausdorff space as well as tw-approach normed space is shown to be the metric space formed by is full if and only if tw-approach space is a complete, so, every finite-dimensional tw-approach normed space is proven to be tw-complete. Some important results and properties in this field are introduced and discussed. is more real in its representation of the relationship between quantity demanded and price, whereas the other model takes into account both demand and Expenses incurred.
双范数逼近空间的新结果
本文定义并研究了一个改进的收敛定理,即双逼近空间中的焦点、双柯西级数、双收敛、双精度和序贯约简。同时指出了为得到序列收缩函数,必须满足收缩条件。此外,提出了双逼近空间中范数的一种新结构,称为双逼近-巴拿赫空间。进一步,给出了具有一致条件的双路赋范空间是一个Hausdorff空间,并证明了双路赋范空间是由满空间构成的度量空间,当且仅当双路空间是完备的,从而证明了每一个有限维双路赋范空间都是双完备的。介绍和讨论了该领域的一些重要结果和性质。模型更真实地反映了需求量和价格之间的关系,而另一个模型同时考虑了需求和费用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.70
自引率
23.50%
发文量
141
期刊介绍: The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.
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