Displaying similar documents to “Fixed points of discontinuous multivalued operators in ordered spaces with applications.”

Fixed point results for multivalued contractions on ordered gauge spaces

Gabriela Petruşel (2009)

Open Mathematics

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The purpose of this article is to present fixed point results for multivalued E ≤-contractions on ordered complete gauge space. Our theorems generalize and extend some recent results given in M. Frigon [7], S. Reich [12], I.A. Rus and A. Petruşel [15] and I.A. Rus et al. [16].

An -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem

Stuart A. Steinberg (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.