Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708812 | Applied Mathematics Letters | 2011 | 5 Pages |
Abstract
In the present work, using Minkowski functionals in topological vector spaces, we establish the equivalence between some fixed point results in metric and in (topological vector space) cone metric spaces. Thus, a lot of results in the cone metric setting can be directly obtained from their metric counterparts. In particular, a common fixed point theorem for ff-quasicontractions is obtained. Our approach is even easier than that of Du [Wei-Shih Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. 72 (2010) 2259–2261] where similar conclusions were obtained using scalarization functions.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zoran Kadelburg, Stojan Radenović, Vladimir Rakočević,