پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 646 |
| تعداد مقالات | 9,451 |
| تعداد مشاهده مقاله | 68,212,784 |
| تعداد دریافت فایل اصل مقاله | 46,680,855 |
Using the infimum form of auxiliary functions to study the common coupled coincidence points in fuzzy semi-metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 629-663 اصل مقاله (483.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.13960.1728 | ||
| نویسنده | ||
| Hsien-Chung Wu* | ||
| Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan | ||
| تاریخ دریافت: 18 بهمن 1396، تاریخ پذیرش: 07 مهر 1399 | ||
| چکیده | ||
| The common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces are investigated in this paper. In fuzzy semi-metric space, the symmetric condition is not necessarily assumed to be satisfied. In this case, regarding the non-symmetry of metric, there are four kinds of triangle inequalities that can be considered. In order to investigate the common coupled coincidence points and common coupled fixed points, the fuzzy semi-metric space is further assumed to satisfy the so-called canonical condition that is inspired from the intuitive observations. The sufficient conditions for guaranteeing the common coupled coincidence points and common coupled fixed points will be different for the four different kinds of triangle inequalities. | ||
| کلیدواژه‌ها | ||
| Common coupled coincidence points؛ Common coupled fixed points؛ Distant condition؛ Fuzzy semi-metric space؛ Rational condition | ||
| مراجع | ||
|
[1] A. Aghajani and K. Nourouzi, Convex sets in probabilistic normed spaces, Chaos, Sol. Frac. 36 (2008) 322–328. [2] S.S. Chang, Y.J. Cho and S.M. Kang, Nonlinear Operator Theory in Probabilistic Metric Space, Nova Science Publishers, New York, 2001. [3] Y.J. Cho, S. Sedghi and N. Shobe, Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces, Chaos, Sol. Frac. (2009) 2233–2244 [4] A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64 (1994) 395–399. [5] A. George and P. Veeramani, On some results ofanalysis for fuzzy metric spaces, Fuzzy Sets Syst. 90 (1997) 365–368. [6] V. Gregori and A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets Syst. 125 (2002) 245–252. [7] M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets Syst. 27 (1988) 385–389. [8] O. Hadˇzi´c and E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Klumer Academic Publishers, 2001. [9] X.-Q. Hu, M.-X. Zheng, B. Damjanovi’c and X.-F. Shao, Common coupled fixed point theorems for weakly compatible mappings in fuzzy metric spaces, Fixed Point Theory Appl. 2013, 2013:220. [10] O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets Syst. 12 (1984) 215–229. [11] I. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetika, 11 (1975) 336–344. [12] S.A. Mohiuddine and A. Alotaibi, Coupled coincidence point theorems for cCompatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces, Fixed Point Theory Appl. 2013, 2013:220. [13] Z. Qiu and S. Hong, Coupled fixed points for multivalued mappings in fuzzy metric spaces, Fixed Point Theory and Applications 2013, 2013:265. [14] A.P. Robertson and W. Robertson, Topological Vector Spaces, Cambrisge University Press, 1964. [15] B. Schweizer and A. Sklar, Statistical Metric Spaces, Pacific J. Math. 10 (1960) 313–334. [16] B. Schweizer, A. Sklar and E. Thorp, The metrization of statistical metric spaces, Pacific J. Math. 10 (1960) 673–675. [17] B. Schweizer and A. Sklar, Triangle inequalities in a class of statistical metric spaces, J. London Math. Soc. 38 (1963) 401–406. [18] V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math. Syst. Theory 6 (1972) 97–102. [19] H.-C. Wu, Hausdorff topology induced by the fuzzy metric and the fixed point theorems in fuzzy metric spaces, J. Korean Math. Soc. 52 (2015) 1287–1303. | ||
|
آمار تعداد مشاهده مقاله: 15,641 تعداد دریافت فایل اصل مقاله: 7,065 |
||