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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-1,
author = {Xun Ge and Shou Lin},
title = {Contractions of Nadler type on partial tvs-cone metric spaces},
journal = {Colloquium Mathematicae},
volume = {139},
year = {2015},
pages = {149-163},
zbl = {06401021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-1}
}
Xun Ge; Shou Lin. Contractions of Nadler type on partial tvs-cone metric spaces. Colloquium Mathematicae, Tome 139 (2015) pp. 149-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-1/