پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 687 |
| تعداد مقالات | 9,985 |
| تعداد مشاهده مقاله | 70,957,397 |
| تعداد دریافت فایل اصل مقاله | 62,422,644 |
New generalization of norm spaces and applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 26، دوره 14، شماره 10، دی 2023، صفحه 303-314 اصل مقاله (407.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23709.2586 | ||
| نویسندگان | ||
| Mohammad Reza Haddadi* 1؛ Mohammad Hussein Labbaf Ghasemi2؛ Noha Eftekhari2 | ||
| 1Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran | ||
| 2Department of Pure Mathematics, University of Sharekord, Sharekord, Iran | ||
| تاریخ دریافت: 27 خرداد 1400، تاریخ بازنگری: 22 بهمن 1400، تاریخ پذیرش: 22 اسفند 1400 | ||
| چکیده | ||
| One of the generalizations that were studied from metric space was multiplicative metric space. The main idea was that the usual triangular inequality was replaced by a multiplicative triangle inequality. The important thing is that logarithm of every multiplicative metric is a metric. In this paper, we introduce multiplicative norm space and present three norms in bounded multiplicative operator spaces and we investigate conditions that bounded multiplicative operator spaces be complete norm multiplicative spaces. It is notable that the logarithm of every multiplicative norm is not a norm and so we have new results in multiplicative norm spaces. We give an important extension of the Hahn-Banach theorem to nonlinear operators and their ramifications and indicate some applications. | ||
| کلیدواژهها | ||
| Hahn Banach theorem؛ multiplicative calculus؛ multiplicative metric space | ||
| مراجع | ||
|
[1] M. Abbas, B. Ali and Y.I. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, Int. J. Math. Math. Sci. 2015 (2015), Article ID 218683. [2] A.E. Bashirov, E. Misirli, Y. Tandogdu and A. Ozyapici, On modeling with multiplicative differential equations, J. Chinese Univer. 26 (2011), 425–438. [3] A Bashirov, G Bashirova, Dynamics of literary texts and diffusion, Online J. Commun. Media Technol. 1 (2011), 60–82. [4] A.E. Bashirov, E. Misirli Kurpinar and A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36–48. [5] A. Ben Amar, S. Chouayekh, and A. Jeribi, Fixed point theory in a new class of Banach algebras and application, Afr. Mat. 24 (2013), 705–724. [6] L. Florack and H.V. Assen, Multiplicative calculus in biomedical image analysis, J. Math. Imag. Vision 42 (2012), 64–75. [7] R.D. Gill and S. Johansen, A survey of product-integration with a view toward application in survival analysis, Ann. Stat. 18 (1990), 1501–1555. [8] M. Grossman and R. Katz. Non-Newtonian Calculus, Pigeon Cove, Lee Press, Massachusetts, 1972. [9] G. Metakides, A. Nerode and R.A. Shore, Recursive limits on the Hahn-Banach theorem, Errett Bishop: Reflections on him and his Res. 39 (1985), 85–91. [10] H. Xiaoju, M. Song and D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed Point Theory Appl. 2014 (2014), Article ID 48. [11] D. Stanley, A multiplicative calculus, Primus 9 (1999), no. 4, 310–326. | ||
|
آمار تعداد مشاهده مقاله: 16,602 تعداد دریافت فایل اصل مقاله: 10,395 |
||