Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628243 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
Perov (1964) [19] used the concept of vector valued metric space, and obtained a Banach type fixed point theorem on such a complete generalized metric space. In this article we study fixed point results for the new extensions of Ćirić’s quasi-contraction to cone metric space, and we give some generalized versions of the fixed point theorem of Perov. As corollaries we generalized some results of Zima (1992) [28] and Borkowski et al. (2010) [4] for a Banach space with a non normal cone. The theory is illustrated with some examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Marija Cvetković, Vladimir Rakočević,