# zbMATH — the first resource for mathematics

Common coupled fixed point theorems in cone metric spaces for $$w$$-compatible mappings. (English) Zbl 1197.54049
Summary: We introduce the concept of $$w$$-compatible mappings to obtain coupled coincidence point and coupled point of coincidence theorems for nonlinear contractive mappings in cone metric spaces with a cone having nonempty interior. Coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend and unify several well-known comparable results in the literature. The results are supported by three examples.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces
Full Text: