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On convergence completeness in symmetric spaces

Author: Moshokoa Seithuti P.  

Publisher: Taylor & Francis Ltd

ISSN: 1607-3606

Source: Quaestiones Mathematicae, Vol.31, Iss.3, 2008-09, pp. : 203-208

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Abstract

The notion of a convergence complete symmetric space is introduced in [6]. In this paper we shall show that every symmetric space admits a weakly S-convergence complete symmetric space. As applications of convergence completeness, we present some fixed point results for self-maps defined on a symmetric space.