Định lý xấp xỉ tốt nhất cho một cặp trong không gian Banach hình nón
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Tài liệu tham khảo
Rzepecki B: On fixed point theorems of Maia type. Publications de l'Institut Mathématique 1980, 28: 179–186.
Lin S-D: A common fixed point theorem in abstract spaces. Indian Journal of Pure and Applied Mathematics 1987,18(8):685–690.
Huang L-G, Zhang X: Cone metric spaces and fixed point theorems of contractive mappings. Journal of Mathematical Analysis and Applications 2007,332(2):1468–1476. 10.1016/j.jmaa.2005.03.087
Khan MS, Imdad MA: A common fixed point theorem for a class of mappings. Indian Journal of Pure and Applied Mathematics 1983,14(10):1220–1227.
Rezapour Sh, Hamlbarani R: Some notes on the paper: "cone metric spaces and fixed point theorems of contractive mappings". Journal of Mathematical Analysis and Applications 2008,345(2):719–724. 10.1016/j.jmaa.2008.04.049
Turkoglu D, Abuloha M: Cone metric spaces and fixed point theorems in diametrically contractive mappings. Acta Mathematica Sinica 2010,26(3):489–496.
Turkoglu D, Abuloha M, Abdeljawad T: KKM mappings in cone metric spaces and some fixed point theorems. Nonlinear Analysis: Theory, Methods & Applications 2010,72(1):348–353. 10.1016/j.na.2009.06.058
Di Bari C, Vetro P: -pairs and common fixed points in cone metric spaces. Rendiconti del Circolo Matematico di Palermo 2008,57(2):279–285. 10.1007/s12215-008-0020-9
Karapınar E: Fixed point theorems in cone Banach spaces. Fixed Point Theory and Applications 2009, -9.
Karapınar E: Couple fixed point theorems for nonlinear contractions in cone metric spaces. Computers and Mathematics with Applications 2010,59(12):3656–3668. 10.1016/j.camwa.2010.03.062
Radenović S, Rhoades BE: Fixed point theorem for two non-self mappings in cone metric spaces. Computers & Mathematics with Applications 2009,57(10):1701–1707. 10.1016/j.camwa.2009.03.058
Mitrović ZD: A coupled best approximations theorem in normed spaces. Nonlinear Analysis: Theory, Methods & Applications 2010,72(11):4049–4052. 10.1016/j.na.2010.01.035
Abdeljawad T, Karapınar E: Quasicone metric spaces and generalizations of Caristi Kirk's theorem. Fixed Point Theory and Applications 2009, -9.
Abdeljawad T: Completion of cone metric spaces. Hacettepe Journal of Mathematics and Statistics 2010,39(1):67–74.
Abdeljawad T, Turkoglu D, Abuloha M: Some theorems and examples of cone Banach spaces. Journal of Computational Analysis and Applications 2010,12(4):739–753.
Gnana Bhaskar T, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Analysis: Theory, Methods & Applications 2006,65(7):1379–1393. 10.1016/j.na.2005.10.017
Lakshmikantham V, Ćirić L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis: Theory, Methods & Applications 2009,70(12):4341–4349. 10.1016/j.na.2008.09.020
Rezapour Sh, Derafshpour M, Hamlbarani R: A review on topological properties of cone metric spaces. to appear