پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 675 |
| تعداد مقالات | 9,837 |
| تعداد مشاهده مقاله | 69,890,423 |
| تعداد دریافت فایل اصل مقاله | 49,213,970 |
Fixed point results of Perov type contractive mappings in generalized $F$-metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 13 آبان 1404 اصل مقاله (371.02 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33837.5047 | ||
| نویسندگان | ||
| Hamid Faraji* 1؛ Stojan Radenovic2؛ Vuk Stojiljkovic3 | ||
| 1Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran | ||
| 2Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia | ||
| 3Faculty of Science, University of Novi Sad, Trg Dositeja Obradovica 3, 21 000 Novi Sad, Serbia | ||
| تاریخ دریافت: 31 فروردین 1403، تاریخ بازنگری: 15 مرداد 1403، تاریخ پذیرش: 19 مهر 1403 | ||
| چکیده | ||
| The purpose of this paper is to present some fixed point results in spaces endowed with a vector-valued $ F$-metric. The results are extensions or generalizations of results proved by Perov \cite{Perov}. To show the usability of our results, we present two examples. | ||
| کلیدواژهها | ||
| Fixed point؛ Vector-valued $\mathcal{F}$-metric؛ Weakly compatible | ||
| 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), no. 1, 416–420. [2] R.P. Agarwal, M.A. El-Gebeily, and D. O’Regan, Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), no. 1, 109–116. [3] S. Aleksić, Z. Kadelburg, Z.D. Mitrović, and S. Radenović, A new survey: Cone metric spaces, J. Int. Math. Virtual Inst. 9 (2019), 93–121. [4] A. Asif, M. Nazam, M. Arshad, and S.O. Kim, F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications, Mathematics 7 (2019), 586. [5] S. Banach, Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrales, Fund. Math. 3 (1922), 133–181. [6] I. Beg and A.R. Butt, Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces, Nonlinear Anal. 71 (2009), no. 9, 3699–3704. [7] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), no. 2, 263–276. [8] Z. Fadail, A. Savić, and S. Radenović, New distance in cone S-metric spaces and common fixed point theorems, J. Math. Computer Sci. 26 (2022), 368–378. [9] H. Faraji and S. Radenović, Some fixed point results for FG-contraction in F-metric spaces endowed with a graph, J. Math. Exten. 16 (2022), no. 5, 1–18. [10] H. Faraji, N. Mirkov, Z.D. Mitrović, R. Ramaswamy, O.A. Abdelnaby, and S. Radenović, Some new results for (α,β)-admissible mappings in F-metric spaces with applications to differential equations, Symmetry 14 (2022), 2429. [11] H. Faraji and S. Radenović, Some fixed point results for convex contraction mappings on F-metric spaces, Ser. Math. Inf. 35 (2020), 939–948. [12] A.D. Filip and A. Petruşel, Fixed point theorems on spaces endowed with vector-valued metrics, Fixed Point Theory Appl. 2010 (2010), Art. ID 281381, 15 pp. [13] R. George, R. Rajagopalan, H.A. Nabwey, and S. Radenović, Dislocated Cone Metric Spaces over Banach Algebra and Fixed Points of α-Quasi Contraction Mappings of Perov type, Fixed Point Theory Appl. 2017 (2017), 24. [14] L. Guran, M.-F. Bota, A. Naseem, Z.D. Mitrović, M. de la Sen, and S. Radenović, On some new multivalued results in the metric spaces of Perov’s type, Mathematics 8 (2020), no. 3, 1–12. [15] L.G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), no. 2, 1468–1476. [16] J. Jachymski and J. Klima, Around Perov’s fixed point theorem for mappings on generalized metric spaces, Fixed Point Theory 17 (2016), no. 2, 367–380. [17] M. Jleli and B. Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), no. 3, Paper No. 128, 20 pp. [18] Z. Kadelburg, N. Fabiano, N. Mirkov, and S. Radenović, On ordered topological vector groups - new results, J. Nonlinear Convex Anal. 23 (2022), no. 6, 1231–1254. [19] G.N.V. Kishore, R.P. Agarwal, B.S. Rao, and R.V.N.S. Rao, Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications, Fixed Point Theory Appl. 2018 (2018), 1–13. [20] N. Mirkov, S. Radenović, and S. Radojević, Some new observations for F-contractions in vector-valued metric spaces of Perov’s type, Axioms 10 (2021), no. 2, 127. [21] N. Mirkov, N. Fabiano, and S. Radenović, Critical remarks on "A new fixed point result of Perov type and its application to a semilinear operator system", TWMS J. Pure Appl. Math. 14 (2023), no. 1, 141–145. [22] Z.D. Mitrović, H. Aydi, N. Hussain, and A. Mukheimer, Reich, Jungck, and Berinde common fixed point results on F-metric spaces and an application, Mathematics 7 (2019), 387. [23] Z. Mustafa and H. Obiedat, A fixed point theorem of Reich in G-metric spaces, Cubo 12 (2010), no. 1, 83–93. [24] A.I. Perov, On the Cauchy problem for a system of ordinary differential equations, Pviblizhen. Met. Reshen. Differ. Uvavn. 2 (1964), 115–134. [25] S. Radenović and F. Vetro, Some remarks on Perov type mappings in cone metric spaces, Mediterr. J. Math. 14 (2017), no. 6, Paper No. 240, 15 pp. [26] A. Savić, N. Fabiano, N. Mirkov, A. Sretenović, and S. Radenović, Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph, AIMS Math. 7 (2022), no. 1, 187–198. [27] T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1861–1869. [28] F. Vetro and S. Radenović, Some results of Perov type on rectangular cone metric spaces, J. Fixed Point Theory Appl. 20 (2018), no. 1, Article 41. [29] D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012 (2012), 94, 6 pp. [30] S. Xu, Y. Han, S. Aleksić, and S. Radenović, Fixed Point Results for Nonlinear Contractions of Perov Type in Abstract Metric Spaces with Applications, AIMS Math. 7 (2022), no. 8, 14895–14921. [31] K. Zoto, Z.D. Mitrović, and S.N. Radenović, Unified setting of generalized contractions by extending simulation mappings in b-metric-like spaces, Acta Math. Univ. Comenianae 9 (2022), 247–258. | ||
|
آمار تعداد مشاهده مقاله: 51 تعداد دریافت فایل اصل مقاله: 263 |
||