Efficacy of cones on topological vector spaces and application to common fixed points of multifunctions |
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| Authors: | Shahram Rezapour Hassan Khandani Seyyed M. Vaezpour |
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| Affiliation: | 1.Department of Mathematics,Azarbaidjan University of Tarbiat Moallem,Tabriz,Iran;2.Department of Mathematics,Aazad Islamic University, Science and Research Branch,Tehran,Iran;3.Department of Mathematics,Amirkabir University of Technology,Tehran,Iran |
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| Abstract: | Let (E, τ) be a topological vector space and P a cone in E. We shall define a topology τ P on E so that (E, τ P ) is a normable topological vector space and P is a normal cone with normal constant M = 1. Then by using the norm, we shall give some results about common fixed points of two multifunctions on cone metric spaces. |
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