Contractive Mappings in Spaces with Vector Norm
Barbu, Dorel ; Bocşan, Gheorghe
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 577-587 / Harvested from Project Euclid
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In this paper we study the contractive mappings in vector space with vector norm. We suppose that values of the norm belong to a $\sigma$-complete vector lattice. The results extend the Banach fixed point theorem for differential equations, under the condition to retain the convergence of successive approximations to the unique solution.
Publié le : 2008-05-15
Classification:  contractive mappings,  vector norm,  49M99 
@article{1225893940,
     author = {Barbu, Dorel and Boc\c san, Gheorghe},
     title = {Contractive Mappings in Spaces with Vector Norm},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 577-587},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225893940}
}

Barbu, Dorel; Bocşan, Gheorghe. Contractive Mappings in Spaces with Vector Norm. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  577-587. http://gdmltest.u-ga.fr/item/1225893940/