Quasi-contractions on a nonnormal cone metric space
- 131 Downloads
Ilić and Rakočević  proved a fixed point theorem for quasi-contractive mappings on cone metric spaces when the underlying cone is normal. Recently, Z. Kadelburg, S. Radenović, and V. Rakočević obtained a similar result without using the normality condition but only for a contractive constant λ ∈ (0, 1/2) . In this note, using a new method of proof, we prove this theorem for any contractive constant λ ∈ (0, 1).
Key wordsFixed point cone metric space quasi-contraction
Unable to display preview. Download preview PDF.
- G. Jungck, S. Radenović, S. Radojević, and V. Rakočević, Fixed Point Theory and Applications, 2009, Art. ID 643640, doi: 10.1155/2009/643640.Google Scholar