TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

New results of tw-normed approach space

* ,

* Corresponding author · click or hover a name for details

pp. 1109–1121Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1610XML
Published Online:
13 Sep 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1610
Pages:
1109–1121

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.

Keywords

Subject Classifications

Primary 30L99Secondary 47S9915A60

Acknowledgements

FRH-P911H67

References

[1] E. Coalbunkers, M. Sioen, Normality In Terms of Distances and Contractions, J. Math. Anal. Al., 461(1), 74-96 (2018).
[2] R. Lowen, Y. Jin Lee, Aroach Theory in Merotopic, Cauchy and Convergence Spaces II, Acta Math.Hungar, 83 (1999).
[3] R. Lowen, M. Sioen and D.Vaughan, Completing Quasi-Metric Spaces-an Alternative Aroach, University of Houston, 29(1) (2003).
[4] R. Lowen, Aroach Spaces, A common super category of TOP and MET, Uni.of Antwerp, Math. Nachr. 141, 183-226 (1989).
[5] R. Lowen, S. Verwuwlgen, Aroach vector spaces, University of Houston (2004).
[6] R. Lowen, Index Analysis, Aroach Theory at Work, University of Antwerp, Springer-Verlag London (2015).
[7] R. Baekeland, R.Lowen, Measures of Lindelof and Separability in Aroach Spaces, Int. J. Math. Math. Sci., 17(3), 606 (1994).
[8] R. Lowen, M. Sioen, A note on Separation in Ap, University of Antwerp (2003).
[9] R. Lowen, C. Van Olmen, and T. Vroegrijk, Functional Ideals and Topological Theories, University of Houston, 34(4) (2004).
[10] R. Lowen, M. Sioen, Aroximations in Functional Analysis, Results Math., 37 (11), 729-739 (2000).
[11] R. Lowen, C. Van Olmen, Aroach Theory, Amer. Math. Soc. 305-332 (2009).
[12] G. Gutierres, D. Hofmann, Aroaching Metric Domains, Alied Categorical Structures 21, 617-650 (2013).
[13] R. Lowen, Aroach Spaces: The Missing Link in the Topology, Uniformity-Metric Triad, University of Antwerp (1996).
[14] R. Lowen, B. Windels, Aroach Groups, Rocky Mt. J. Math., 1057-1073 (2000).
[15] W. Li, Dexue Zhang, Sober Metric Aroach Spaces, topology and alications, 233, 67-88 (2018).
[16] G.C.L. Brümmer, M. Sion, A symmetry and Bicompletion of Aroach Spaces, Topology and its Alications, 153, 3101-3112 (2006).
[17] J. Martine, Moreno, A. Roldan, C. Roldan, KM_Fuzzy Aroach Space, University of Jaen, Jaen, Spain (2009).
[18] K. Van Opdenbosch, Aroach Theory With an alication to Function Spaces, Master thesis, Vrije Universities Brussels, Schepdaal (2013).
[19] M. Barn, M.Qasim, T1-Aroach Spaces, Ankara University, 68(1), 784-800 (2019).
[20] M. Baran, M. Qasim, Local T0-Aroach Spaces, National University of sciences and technology, (May 2017).
[21] R. Malčeski, A. Ibrahim, Contraction Maings and Fixed Point in 2-Banach Spaces, IJSIMR, 4(4), 34-43 (2016).
[22] R. Lowen, S. Sagiroglu, Convex Closures, Weak Topologies and Feeble Aroach Spaces, J. Convex Anal., 21(2), 581-600 (2014).
[23] B. Hussein and M. Neamah, A New Type of Topological Vector space Via tw-Aroach Structure, Journal of Algebraic Statistics. 13(3), 2714-2724 (2022).
[24] E. Colebunders, R. Lowen and M. Sioen, An isomorphism of the Wallman and Čech-Stone compactifications, Journal of Quastions Mathematica, 45, 733-763 (2021), https://doi.org/10.2989/16073606.2021.1891991.
[25] N. Ackerman and M. Karker, Potential isomorphisms of generalized aroach spaces, Journal of Quastions Mathematica, 45, 443-484 (2021), https://doi.org/10.2989/16073606.2021.1883764.
[26] S. Wu, Z. Liu, J. Huang, Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space, Journal of Dynamical Systems (2022), https://doi.org/10.1080/14689367.2022.2128991.
[27] U. Kadak, M. Özlük, Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Aroximation Properties, Journal of Numerical Functional Analysis and Optimization, 42, 523-550 (2021), https://doi.org/10.1080/01630563.2021.1895833.
[28] R. Savaş, R. Patterson. Summability aroximation theorems of double random variables. Journal of Communications in Statistics-Theory and Methods, 51, 8617-8624 (2021), https://doi.org/10.1080/03610926.2021.1901920.

Views: 124Downloads: 66Citations: 1