پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 653 |
| تعداد مقالات | 9,526 |
| تعداد مشاهده مقاله | 68,456,228 |
| تعداد دریافت فایل اصل مقاله | 47,916,632 |
On certain coupled fixed point theorems via C-class functions in $S_b$-metric spaces with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 15، شماره 9، آذر 2024، صفحه 413-429 اصل مقاله (455.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29959.4302 | ||
| نویسندگان | ||
| Naresh Parkala* 1؛ Upender Reddy Gujjula1، 2؛ Srinuvasa Rao Bagathi3 | ||
| 1Department of Mathematics, Mahatma Gandhi University, Nalgonda, Telangana, India | ||
| 2Department of Mathematics, Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad-501301,Telangana, India | ||
| 3Department of Mathematics, Dr.B.R. Ambedkar University, Srikakulam, Etcherla-532410, Andhra Pradesh, India | ||
| تاریخ دریافت: 29 بهمن 1401، تاریخ بازنگری: 05 مرداد 1402، تاریخ پذیرش: 26 مرداد 1402 | ||
| چکیده | ||
| In this study, the concept of C-class functions in the setup of Sb-metric spaces is introduced and common coupled fixed point theorems for these mappings in complete Sb-metric spaces which involve altering distance function and ultra altering distance functions are established. A few instances are given to support our major findings. We also provided an application for integral equations. | ||
| کلیدواژه‌ها | ||
| C-class functions؛ coupled fixed point؛ complete Sb-metric spaces and ω-compatible mappings | ||
| مراجع | ||
|
[1] M. Abbas, M. Ali Khan, and S. Radenovic, Common coupled fixed point theorems in cone metric spaces for ω-compatible mappings, Appl. Math. Comput. 217 (2010), no. 1, 195–202. [2] M. Abbas, B. Ali, and Y.I. Suleiman, Generalized coupled common fixed point results in partially ordered A-metric spaces, Fixed Point Theory Appl. 2015 (2015), 64. [3] A. Aghajani, M. Abbas, and E. Pourhadi Kallehbasti, Coupled fixed point theorems in partially ordered metric spaces and application, Math. Commun. 17 (2012), 497–509. [4] A.H. Ansari and A. Kaewcharoen, C-class functions and fixed point theorems for generalized α-η-ψ-φ-F-contraction type mappings in ℵ- η-complete metric spaces, J. Nonlinear Sci. Appl. 9 (2016), 4177–4190. [5] A.H. Ansari, Note on φ−ψ-contractive type mappings and related fixed point, 2nd Regional Conf. Math. Appl. PNU, September, 2014, pp. 377–380. [6] A.H. Ansari, W. Shatanawi, A. Kurdi, and G. Maniu, Best proximity points in complete metric spaces with (P)-property via C-class functions, J. Math. Anal. 7 (2016), no. 6, 54–67. [7] S. Banach,Sur les operations dans les ensembles abstraits etleur applications aux equations integrales, Fund. Math. 3 (1922), 133–181. [8] S. Czerwik, Contraction mapping in b-metric spaces, Acta Math. Inf. Univ. Ostraviensis 1 (1993), 5–11. [9] T. Gnana Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), no. 7, 1379–1393. [10] D.J. Guo and V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal. 11 (1987), 623–632. [11] T. Hamaizia, Common fixed point theorems involving C-class functions in partial metric spaces, Sohag J. Math. 8 (2021), no. 1, 23–28. [12] H. Huang, G. Deng, and S. Radenovic, Fixed point theorems for C-class functions in b-metric spaces and applications, J. Nonlinear Sci. Appl. 10 (2017), 5853–5868. [13] N. Hussain, V. Parvaneh, and F. Golkarmanesh, Coupled and tripled coincidence point results under (F, g)-invariant sets in Gb-metric spaces and G−α-admissible mappings, Math. Sci. 9 (2015), no. 1, 11–26. [14] G. Jungck and B.E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), no. 3, 227–238. [15] E. Karapinar, Coupled fixed point on cone metric spaces, Gazi Univ. J. Sci. 1 (2011), 51–58. [16] M.S. Khan, M. Swaleh, and S. Sessa Fixed point theorems by altering distances between the points, Bull. Aust. Math. Soc. 30 (1984), 1–9. [17] G.N.V. Kishore, K.P.R. Rao, D. Panthi, B. Srinuvsa Rao, and S. Satyanaraya, Some applications via fixed point results in partially ordered Sb-metric spaces, Fixed Point Theory Appl. 2017 (2017), 10. [18] M.A. Kutbi, N. Hussain, J. Rezaei Roshan, and P. Parvaneh, Coupled and tripled coincidence point results with application to Fredholm integral equations, Abstr. Appl. Anal. 2014 (2014), 18 pages. [19] W. Long, B.E. Rhoades, and M. Rajovic, Coupled coincidence points for two mappings in metric spaces and cone metric spaces, Fixed Point Theory Appl. 2012 (2012), 9 pages. [20] J.G. Mehta and M.L. Joshi, On coupled fixed point theorem in partially ordered complete metric space, Int. J. Pure Appl. Sci. Technol. 1 (2010), 87–92. [21] Z. Mustafa, J.R. Roshan, and P. Parvaneh, Coupled coincidence point results for (ψ, φ)-weakly contractive mappings in partially ordered Gb-metric spaces, Fixed Point Theory and Appl. 2013 (2013), 206. [22] V. Parvaneh and N. Hussain, H. Hosseinzadeh, and P. Salim, Coupled fixed point results for α-admissible Mizoguchi-Takahashi contractions in b-metric spaces with applications, Sahand Commun. Math. Anal. 7 (2017), no. 1, 85–104. [23] V. Parvaneh and J.R. Roshan, Coupled coincidence point for a class of nonlinear contractive mappings in partially ordered G-metric spaces, Afr. Math. 26 (2015), no. 3-4, 369–383. [24] V. Ozturk and A.H. Ansari, Common fixed point theorems for mappings satisfying (E.A)-property via C-class functions in b-metric spaces, Appl. Gen. Topol. 18 (2017), 45–52. [25] Y. Rohen, T. Dosenovic, and S. Randanovi´c, A note on a paper A fixed point theorems in Sb-metric spaces, Filomat 31 (2017), no. 11, 3335–3346. [26] G.S. Saluja, Common fixed point theorems on S-metric spaces via C-class functions, Int. J. Math. Combin. 3 (2022), 21–37. [27] S. Sedghi, A. Gholidahneh, T. Dosenovic, J. Esfahani, and S. Radenovic, Common fixed point of four maps in Sb-metric spaces, J. Linear Topological Alg. 5 (2016), no. 2, 93–104. [28] W. Shatanawi, M. Postolache, A.H. Ansari, and W. Kassab, Common fixed points of dominating and weak annihilators in ordered metric spaces via C-class functions, J. Math. Anal. 8 (2017), 54–68. [29] N. Souayah, A fixed point in partial Sb-metric spaces, An. St. Univ. Ovidius Constante 24 (2016), no. 3, 315–362. [30] N. Souayah and N. Mlaiki, A fixed point theorems in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131–139. | ||
|
آمار تعداد مشاهده مقاله: 1,003 تعداد دریافت فایل اصل مقاله: 750 |
||