## Coupled fixed point theorems for nonlinear contractions in cone metric spaces. (Couple fixed point theorems for nonlinear contractions in cone metric spaces.)(English)Zbl 1198.65097

Summary: The notion of coupled fixed point is introduced by T. G. Bhaskar and V. Lakshmikantham [Nonlinear Anal., Theory Methods Appl. 65, No. 7 (A), 1379–1393 (2006; Zbl 1106.47047)]. In this manuscript, some results of 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:

 65J15 Numerical solutions to equations with nonlinear operators 47H10 Fixed-point theorems

### Keywords:

cone metric spaces; fixed point theory

### Citations:

Zbl 1106.47047; Zbl 1176.54032
Full Text:

### References:

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