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Zbl 1198.65097
Karap inar, Erdal
Coupled fixed point theorems for nonlinear contractions in cone metric spaces. (Couple fixed point theorems for nonlinear contractions in cone metric spaces.)
(English)
[J] Comput. Math. Appl. 59, No. 12, 3656-3668 (2010). ISSN 0898-1221

Summary: The notion of coupled fixed point is introduced by {\it T. G. Bhaskar} and {\it V. Lakshmikantham} [Nonlinear Anal., Theory Methods Appl. 65, No. 7 (A), 1379--1393 (2006; Zbl 1106.47047)]. In this manuscript, some results of {\it V. Lakshmikantham} and {Lj. Ćirić} [Nonlinear Anal., Theory Methods Appl. 70, No. 12 (A), 4341--4349 (2009; Zbl 1176.54032)] are extended to the class of cone metric spaces.
MSC 2000:
*65J15 Equations with nonlinear operators (numerical methods)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: cone metric spaces; fixed point theory

Citations: Zbl 1106.47047; Zbl 1176.54032

Cited in: Zbl pre06045307 Zbl 1205.54044

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