پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 691 |
| تعداد مقالات | 10,035 |
| تعداد مشاهده مقاله | 71,039,307 |
| تعداد دریافت فایل اصل مقاله | 62,488,744 |
Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1299-1315 اصل مقاله (446.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22582.2388 | ||
| نویسندگان | ||
| Maibam Ranjit Singh1؛ Thangjam Bimol Singh* 2؛ Yumnam Mahendra Singh3 | ||
| 1Department of Mathematics, Manipur, 795003, Manipur University, Canchipur Imphal, India | ||
| 2MU, Department of Mathematics, Manipur, 795003 Manipur University, Canchipur, Manipur, India. | ||
| 3Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795004, Manipur, India | ||
| تاریخ دریافت: 17 بهمن 1399، تاریخ بازنگری: 23 فروردین 1400، تاریخ پذیرش: 08 خرداد 1400 | ||
| چکیده | ||
| In this paper, we discuss some common fixed point theorems for compatible mappings of type $(E)$ and $R-$weakly commuting mappings of type $(P)$ of a complete $b-$multiplicative metric space along with some examples. As an application, we establish an existence and uniqueness theorem for a solution of a system of multiplicative integral equations. In the last section, we introduce the concept of $R-$multiplicative metric space by giving some examples and at the end of the section, we give an open question. | ||
| کلیدواژهها | ||
| compatible mappings of type (E)؛ R-weakly commuting mappings of type (P)؛ multiplicative metric space؛ b-multiplicative metric space؛ common fixed points؛ compatible mapping؛ R-multiplicative metric space؛ orthogonal set | ||
| مراجع | ||
|
[1] M. U. Ali, T. Kamran and A. Kurdi, Fixed point theorems in b−multiplicative metric spaces, U. P. B. Sci. Bull., Series A., 79(3) (2017) 107–116. [2] H. Baghani, M. Eshaghi Gordji and M. Ramezani, Orthogonal sets : The axiom of choice and proof of a fixed point theorem, J. Fixed Point Theory Appl. 18(2016) 465–477. [3] A. E. Bashirov, E. Misirli Kurpinar and A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008) 36–48. [4] A. Bashirov and M. Riza, On complex multiplicative integration, arXiv: 1307.8293v1[math.CV] 31 Jul 2013. [5] M. Eshaghi and H. Habibi, Fixed point theory in generalized orthogonal metric space, J. Linear Topol. Alg. 6(3) (2017) 251–260. [6] M. Eshaghi Gordji, M. Ramezani, M. De La Sen and Y. J. Cho, On orthogonal sets and Banach fixed point theorem, Fixed Point Theo. 18 (2016) 465–477. [7] L. Florack and H. V. Assen, Multiplicative calculus in biomedical image analysis, J. Math. Imaging Vis. DOI 10.1007/s10851-011-0275-1, 2011. [8] M. Grossman and R. Katz, Non-Newtonian Calculus, Pigeon Cove, Mass, Lee Press, 1972. [9] F. Gu, L. M. Cui and Y.H. Wu, Some fixed point theorems for new contractive type mappings, J. Qiqihar Univ. 19 (2013) 85–89. [10] C. Y. Jung, P. Kumar, S. Kumar and S. M. Kang, Some common fixed point results for various types of compatible mappings in multiplicative metric spaces, Int. J. Pure Appli. Math. 115(3) (2017) 497–515. [11] G. Jungck, Commuting mappings and fixed points, Amer. Math. Month. 83 (1976) 261-263. [12] G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Math. Sci. 9(4) (1986) 771–779. [13] S. M. Kang, P. Kumar, S. Kumar, P. Nagpal and S. K. Garg, Common fixed points for compatible mappings and its variants in multiplicative metric spaces, Int. J. Pure Appli. Math. 102(2) (2015) 383–406. [14] S. Khalehoghli, H. Rahimi and M. Eshaghi Gordji, Fixed point theorems in R−metric spaces with applications, AIMS Math. 5(4) (2020) 3125-3137. [15] S. Kumar and S. K. Garg, Expansion mapping theorems in metric spaces, Int. J. Contemp. Math. Sci. 4 (2009) 1749–1758. [16] P. Nagpal, S. K. Garg. S. Kumar and S. M. Kang, Common fixed points of R−weakly commuting mappings and its variants for multiplicative expansive mappings, Int. J. Pure Appl. Math. 107(2) (2016) 343–356. [17] R. P. Pant, A common fixed point theorem under a new condition, Indian J. Pure Appl. Math. 30(2) (1999) 147–152, . [18] S. Sessa, On a weakly commutativity condition in a fixed point considerations, Publ. Inst. Math. 32(46) (1986) 149–153.[19] R. Sharma and D. Thakur, Some fixed point theorems in multiplicative metric spaces via compatible of type (E) and weakly sub-sequentially continuous mappings, J. Nonlinear Sci. Appl. 13 (2020) 107-112. [20] D. Stanley, A multiplicative calculus, Primus IX, 4 (1999) 310–326. [21] M. R. Singh and Y. M. Singh, Compatible mappings of type (E) and common fixed point theorems of Meir-Keeler type, Int. J. Math. Sci. Engg. Appl. 1(2)(2007) 299–315. | ||
|
آمار تعداد مشاهده مقاله: 15,957 تعداد دریافت فایل اصل مقاله: 9,525 |
||