Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces
General Topology
2015-08-24 v2
Abstract
In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for -weak contraction according to a pseudo Hausdorff metric defined by means of a cone metric.
Cite
@article{arxiv.1508.04962,
title = {Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces},
author = {Raúl Fierro},
journal= {arXiv preprint arXiv:1508.04962},
year = {2015}
}