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Fixed point and common fixed point theorems on ordered cone b-metric spaces. (English) Zbl 1273.54038
Summary: The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given.
MSC:
54H25Fixed-point and coincidence theorems in topological spaces