Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
By J. Olaleru, Mohamed Amine Khamsi. 2009
63 citations recorded by the source corpus.
We generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R. Hamlbarani (2008). In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed results in metric spaces including the results of G. E. Hardy and T. D. Rogers (1973), R. Kannan (1969), G. Jungck, S. Radenovic, S. Radojevic, and V. Rakocevic (2009), and all the references therein.
View Paper: https://www.semanticscholar.org/paper/73ba997fa79fbea4847b126d1bb1233f82614933
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Citations in the corpus
- On cone metric spaces: A survey (2011, result): “1 and the approach in all the papers [55–83], where the only assumption on the cone is that it has a nonempty interior, show how to obtain results without using continuity of the metric and Sandwich Theorem.”
- Coupled fixed point results in cone metric spaces for -compatible mappings (2011, background): “[13].”