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Coupled fixed point theorems in partially ordered complex valued metric spaces with application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 13، شماره 2، مهر 2022، صفحه 13-20 اصل مقاله (364.9 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.449.1065 | ||
| نویسندگان | ||
| Mohadeseh Paknazar* 1؛ Madjid Eshaghi2؛ Seyed Mansour Vaezpour3 | ||
| 1Department of mathematics, Farhangian university, Iran. | ||
| 2Department of Mathematics, Semnan University, Iran | ||
| 3Departement of Mathematics, Amirkabir University of Technology, Iran | ||
| تاریخ دریافت: 13 تیر 1393، تاریخ پذیرش: 06 دی 1396 | ||
| چکیده | ||
| In this paper, we prove some coupled fixed point theorems for nonlinear contraction type mappings in complete complex valued metric spaces endowed with partial order. We support our results by establishing an illustrative example. Also we give an application of this results to the solution of the Urysohn type integral equations. | ||
| کلیدواژهها | ||
| complex valued metric spaces؛ coupled fixed point؛ partially ordered set؛ Urysohn integral equations | ||
| مراجع | ||
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[1] M. Abbas, M. Arshad and A. Azam, Fixed points of asymptotically regular mappings in complex valued metric spaces, Georgian Math. J. 20 (2013), no. 2, 213–221. [2] A. Azam, J. Ahmad and P. Kumam, Common fixed point theorems for multi valued mappings in complex valued metric spaces, J. Inequal. Appl. 578 (2013). [3] A. Azam, F. Brian and M. Khan, Common fixed point theorems in complex valued metric spaces, Numer. Func. Anal. Optim. 32 (2011), no. 3, 243–253. [4] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), 1379–1393. [5] M. Borcut and V. Berinde, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Appl. Math. Comput. 218 (2012), 5929–5936. [6] M. Eshaghi Gordji, H. Baghani and Y.J. Cho, Coupled fixed point theorems for contractions in intuitionistic fuzzy normed spaces, Math. Comput. Modell. 54 (2011), no. 9, 1897–1906. [7] M. Eshaghi Gordji, M. Paknazar, M. De La Sen and S. M. Vaezpour, N-fixed point theorem for nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl. 111 (2013). [8] V. Lakshmikantham and L. Ciri´c, ´ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009), 4341–4349. [9] S.K. Mohanta and R. Maitra, Common fixed points of three self mapping in complex valued metric spaces, Int. J. Math. Arch. 3 (2012), no. 8, 2946–2953. [10] F. Rouzkard and M. Imdad, Some common fixed point theorems on complex valued metric spaces, Comput. Math. Appl. 64 (2012), no. 6, 1866–1874. [11] B. Samet and C. Vetro, Coupled fixed point, f-invariant set and fixed point of N−order, Ann. Funct. Anal. 1 (2010), no. 2, 46–56. [12] W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequal. Appl. 84 (2012). | ||
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