Abstract
In this paper, the concepts of a set-valued contraction of Mizoguchi-Takahashi type in the context of topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is proved. We obtained results which extend and generalize the main results of S. H. Cho with J. S. Bae, Mizoguchi with Takahashi and S. B. Nadler Jr. Two examples are given to illustrate the usability of our results.
| Original language | English |
|---|---|
| Article number | 106 |
| Journal | Fixed Point Theory and Applications |
| Volume | 2012 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- Fixed point
- Locally convex space
- Mizoguchi-Takahashi fixed point theorem
- Nadler's fixed point theorem
- Tvs-cone metric space
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics