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Zbl 1201.65084
Altun, Ishak; Rakočević, Vladimir
Ordered cone metric spaces and fixed point results. (English)
[J] Comput. Math. Appl. 60, No. 5, 1145-1151 (2010). ISSN 0898-1221

Summary: We introduce a partial order on a cone metric space and prove a Caristi-type theorem. Furthermore, we prove fixed point theorems for single-valued nondecreasing and weakly increasing mappings, and multi-valued mappings on an ordered cone metric space.
MSC 2000:
*65J15 Equations with nonlinear operators (numerical methods)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: Banach spaces; cone metric space; fixed point; partial order

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