In this work we define and study quasi-contraction on a cone metric space. For such a mapping we prove a fixed point theorem. Among other things, we generalize a recent result of H. L. Guang and Z. Xian, and the main result of Ćirić is also recovered.
On nonlinear quasi-contractions on TVS-cone metric spaces
✍ Scribed by Ivan D. Aranđelović; Dragoljub J. Kečkić
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 221 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained by Ilić and Rakočević [D.
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