پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 621 |
| تعداد مقالات | 9,143 |
| تعداد مشاهده مقاله | 67,448,909 |
| تعداد دریافت فایل اصل مقاله | 7,978,766 |
Results on coupled common fixed point by applying a new approach of $Y$-cone metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 31-42 اصل مقاله (396.53 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6328 | ||
| نویسندگان | ||
| Richa Sharma1؛ Virendra Singh Chouhan* 2؛ Rahul Shukla3 | ||
| 1Department of Mathematics, Chandigarh University, Mohali, India | ||
| 2Department of Mathematics and Statistics, Manipal University Jaipur, India | ||
| 3Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park 2006, South Africa | ||
| تاریخ دریافت: 11 مرداد 1400، تاریخ بازنگری: 29 آذر 1400، تاریخ پذیرش: 15 دی 1400 | ||
| چکیده | ||
| The main motive of this paper is to discuss coupled coincidence points in the setting of the newly established concept $Y$-cone metric spaces. We obtain coupled coincidence point theorems through mixed monotone mappings in ordered $Y$-cone metric spaces. We give an illustrative example, which constitutes the main theorem. | ||
| کلیدواژه‌ها | ||
| Coupled common fixed point؛ mixed g-monotone maps؛ $Y$-cone metric space | ||
| مراجع | ||
|
[1] M. Abbas, M.A. Khan and S. Radenovic, Common coupled fixed point theorem in cone metric space for wcompatible mappings, Appl. Math. Comput. 217 (2010), 195-202. [2] M. Abbas, B. Ali and Y.I. Suleiman, Generalized coupled common fixed point results in A-metric spaces, Fixed Point Theory Appl. 2015 (2015), Article ID 64. [3] R.P. Agarwal, D. O’Regan, D.R. Sahu, Fixed point theory for Lipschitzian-type mappings with applications, Vol. 6. New York, Springer, 2009. [4] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), no. 7, 1379–1393. [5] B.S. Choudhury and A. Kundu, A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Anal. 73 (2010), no. 8, 2524–2531 [6] L. Ciri´c and V. Lakshmikantham, ´ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009), no. 12, 4341–4349. [7] S. Czerwik, Nonlinear set-valued contraction mappings in b- metric spaces, Atti Sem. Mat. Fiz. Univ. Modena 46 (1998), no. 2, 263–276. [8] L.G. Haung and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), no. 2, 1468–1476. [9] D.H. Hyers, G. Isac and T.M. Rassias, Topics in nonlinear analysis and applications, World Scientific Publishing Co., Inc., River Edge, NJ, 1997. [10] N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011), no. 3, 983–992. [11] R. Pant, Rajendra, R. Shukla, H.K. Nashine and R. Panicker, Some new fixed point theorems in partial metric spaces with applications, J. Funct. Spaces 2017 (2017), Art. ID 1072750, 1-13. [12] A. Razani, H.H. Zadeh, A. Jabbari, Coupled fixed point theorems in partially ordered metric spaces which endowed with vector-valued metrics, Aust. J. Basic Appl. Sci. 6 (2012), no. 2, 124–129. [13] F. Sabetghadam, H.P. Masiha and A.H. Sanatpour, Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory Appl. 2009 (2009), Art. ID 125426, 8 pp. [14] R. Sharma, V.S. Chouhan and S. Mishra, Y -cone metric spaces and coupled fixed point results with applications to integral equation, TWMS J. Appl. Engin. Math. 12 (2022), no. 1, 388–405. [15] W. Shatanawi, B. Samet and M. Abbas, Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces, Math. Comput. Model. 55 (2012), no. 3-4, 680–687. [16] D. Turkoglu and M. Abuloha, Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 3, 489–496. | ||
|
آمار تعداد مشاهده مقاله: 15,641 تعداد دریافت فایل اصل مقاله: 1,225 |
||