Displaying similar documents to “Remarks on cone metric spaces and fixed point theorems of contractive mappings.”

Contractions of Nadler type on partial tvs-cone metric spaces

Xun Ge, Shou Lin (2015)

Colloquium Mathematicae

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This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.