Contractions of Nadler type on partial tvs-cone metric spaces
Volume 138 / 2015
Colloquium Mathematicum 138 (2015), 149-163
MSC: Primary 37C25; Secondary 54E50.
DOI: 10.4064/cm138-2-1
Abstract
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.
