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Some nonunique fixed point theorems of Ćirić type on cone metric spaces. (English) Zbl 1194.54064

Summary: Some results of Ćirić on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, a nonunique fixed point theorem is proved in orbitally \(T\) complete cone metric spaces under the assumption that the cone is strongly minihedral. Regarding the scalar weight of the cone metric, we are able to remove the assumption of strongly minihedral.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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