پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,027 |
| تعداد مشاهده مقاله | 67,082,796 |
| تعداد دریافت فایل اصل مقاله | 7,656,259 |
n-tuple fixed point theorems via $\alpha$-series on partially ordered cone metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 249، دوره 13، شماره 2، مهر 2022، صفحه 3115-3126 اصل مقاله (399.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.22704.2404 | ||
| نویسندگان | ||
| Hasan Hosseinzadeh1؛ Huseyin Işık* 2؛ Samira Hadi Bonab3 | ||
| 1Department of Mathematics, Ardabil Branch Islamic Azad University, Ardabil, Iran | ||
| 2Department of Engineering Science, Bandirma Onyedi Eylul University, 10200 Bandirma, Balikesir, Turkey | ||
| 3Department of Mathematics, Ardabil BranchIslamic Azad University, Ardabil, Iran | ||
| تاریخ دریافت: 30 بهمن 1399، تاریخ بازنگری: 06 بهمن 1400، تاریخ پذیرش: 13 بهمن 1400 | ||
| چکیده | ||
| In this research, we prove the results of $n$-tuple fixed point in partially ordered cone metric spaces. We will impose some conditions upon a self-mapping and a sequence of mappings via $\alpha$-series. This series are wider than the convergent series. Also, at the end of this paper, an example is provided to illustrate the results. | ||
| کلیدواژه‌ها | ||
| $alpha$-series؛ $n$-tuple fixed point؛ $n$-tuple coincidence point؛ cone metric space؛ compatible mappings؛ reciprocally continuous | ||
| مراجع | ||
|
[1] M. Abbas and G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341 (2008), 416-420. [2] M. Abbas, M.A. Khan and S. Radenovi´c, Common coupled fixed point theorems in cone metric spaces for wcompatible mappings, Appl. Math. Comput. 217 (2010), 195–202. [3] T. Abdeljawad and E. Karapinar, Quasicone metric spaces and generalizations of Caristi Kirk’s theorem, Fixed Point Theory Appl. 2009 (2009), Article ID 574387, 1–9. [4] V. Berinde and M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011), no. 15, 4889–4897. [5] T. G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), 1379–1393. [6] M. Borcut and V. Berinde, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Appl. Math. Comput. 218 (10) (2012), 5929–5936. [7] B. S. Choudhary and A. Kundu, A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Anal. 73 (2010), 2524–2531. [8] S. Dalal, M. A. Khan and S. Chauhan, n-tupled coincidence point theorems in partially ordered metric spaces for compatible mappings, Abstr. Appl. Anal. 2014 (2014), Article ID 614019, 1-8. [9] S. Hadi Bonab, R. Abazari and A. Bagheri Vakilabad, Partially ordered cone metric spaces and coupled fixed point theorems via α-series, Math. Anal. Contemp. Appl. 1 (2019), no. 1, 50–61. [10] S. Hadi Bonab, R. Abazari1, A. Bagheri Vakilabad and H. Hosseinzadeh, Coupled fixed point theorems on G-metric spaces via α-series, Glob. Anal. Discrete Math. 6 (2021), no. 1, 1–12. [11] S. Hadi Bonab, R. Abazari, A. Bagheri Vakilabad and H. Hosseinzadeh, Generalized metric spaces endowed with vector-valued metrics and matrix equations by tripled fixed point theorems, J. Inequal. Appl. 2020 (2020), 1–16. [12] L. G. Haung and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468–1476. [13] A. Razani and V. Parvaneh, Coupled coincidence point results for (ψ, α, β)-weak contractions in partially ordered metric spaces, J. Appl. Math. 2012 (2012). [14] 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. [15] M. Imdad, A. H. Soliman, B.S. Choudhury and P. Das, On n-tupled coincidence point results in metric spaces, J. Oper. 2013 (2013), Article ID 532867, 1–8. [16] E. Karapinar, Fixed point theorems in cone Banach spaces, Fixed Point Theory Appl. 2009 (2009), Article ID 609281, 1–9. [17] V. Lakshmikantham and L. Ciri´c, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009), 4341–4349. [18] D. Ilic and V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2008), 876–882. [19] V. Parvaneh, S. Hadi Bonab, H. Hosseinzadeh and H. Aydi, A tripled fixed point theorem in C*-algebra-valued metric spaces and application in integral equations, Adv. Math. Phys. 2021 (2021), 1–6. [20] W. Shatanawi, Partially ordered cone metric spaces and coupled fixed point results, Comput. Math. Appl. 60 (2010), 2508–2515. [21] V. Sihag, C. Vetro and R.K. Vats, A fixed point theorem in G-metric spaces via α-series, Q. Math. 37 (2014), 1–6. [22] R. K. Vats, K. Tas, V. Sihag and A. Kumar, Triple fixed point theorems via α-series in partially ordered metric spaces, J. Inequal. Appl. 2014 (2014), 1–12. | ||
|
آمار تعداد مشاهده مقاله: 43,810 تعداد دریافت فایل اصل مقاله: 338 |
||