پیوندهای مفید
آمار
| تعداد نشریات | 30 |
| تعداد شماره‌ها | 425 |
| تعداد مقالات | 3,743 |
| تعداد مشاهده مقاله | 5,869,464 |
| تعداد دریافت فایل اصل مقاله | 4,059,493 |
Some properties of fuzzy cone symmetric spaces | ||
| Journal of Hyperstructures | ||
| دوره 11، شماره 2، اسفند 2022، صفحه 255-264 اصل مقاله (276.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2578 | ||
| نویسنده | ||
| Tarkan Oner* | ||
| Mathematics Department, Mugla Stk Kocman University, 48000, Mugla, Turkey | ||
| چکیده | ||
| In this work, we give a fuzzy analogy of cone symmetric spaces that we call fuzzy cone symmetric spaces. Since these structurere obtained by omitting the triangle inequality in fuzzy cone metric spaces, there are topological degenerations. After mentioning these degenerations, we investigate the relationship between cone (sym)metric and fuzzy cone (sym)metric spaces. | ||
| کلیدواژه‌ها | ||
| Cone Symmetric؛ Fuzzy Cone Symmetric | ||
| مراجع | ||
|
[1] T. Bag, Fuzzy cone metric spaces and xed point theorems of contractive mappings, Ann. Fuzzy Math. Inform. 6(3), (2013), 657-668. [2] MA. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl. 69, (1979), 205-230. [3] A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64, (1994), 395-399 . [4] V. Gregori and A. Sapena, On xed-point theorems in fuzzy metric spaces, Fuzzy Sets Syst. 125, (2002), 245-252. [5] LG. Huang and X. Zhang, Cone metric spaces and xed point theorems of contractive mappings, J. Math. Anal. Appl. 332, (2007), 1468-1476. [6] O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets Syst. 12, (1984), 215-229. [7] O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11, (1975), 326-334. [8] T. Oner, MB. Kandemir and B. Tanay, Fuzzy Cone Metric Spaces, J. Nonlinear Sci. Appl. 8(5), (2015), 610-616. [9] T. Oner, Some topological properties of fuzzy cone metric spaces, J. Nonlinear Sci. Appl. 9(3), (2016), 799-805. [10] S. Radenovic, and Z. Kadelburg, Quasi-Contraction on Symmetric and Cone Symmetric Spaces, Banach J.Math.Anal. 5(1), (2011), 38-50. [11] S. Rezapour and R. Hamlbarani, Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings", J.Math.Anal.Appl. 345, (2008), 719-724. [12] B. Schweizer and A. Sklar, Statistical metric spaces, Pasi c J. Maths. 10, (1960), 314-334. [13] D. Turkoglu and M. Abuloha, Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Math. Sin., Engl. Ser. 26(3), (2010), 489-496. [14] LA. Zadeh, Fuzzy sets, Inform. and Control. 8, (1965), 338-353. [15] D. Zi-ke, Fuzzy pseudo metric spaces, J. Math. Anal. Appl. 86, (1982), 74-95. | ||
|
آمار تعداد مشاهده مقاله: 271 تعداد دریافت فایل اصل مقاله: 192 |
||