On various types of cone metric spaces and some applications in fixed point theory

This paper gives a study of various types of cone metric spaces and their topological characterizations. Contrarily to the case of cone metric space X, the paper shows with examples that the limit of a sequence may not be unique in the topology generated by partial cone metric T_{p} and (X, T_{p}) is not generally Hausdorff topological space and also the cone valued partial metric mapping p may not generally be continuous. Hence T_{p} is not equivalent to any topology generated by any metric on X. Furthermore, the paper considers some generalized contraction types of mappings on \theta-complete cone metric-like spaces and then generalizes some coupled fixed point theorems of some previous results in this setting.

کلیدواژه ها:

Partial Metric Spaces ، Cone Metric Like Spaces ، Cone Metric Spaces ، Partial Cone Metric Space ، coupled Fixed Point Theorems