Original Articles

On convergence completeness in symmetric spaces

Published in: Quaestiones Mathematicae
Volume 31 , issue 3 , 2008 , pages: 203–208

DOI: 10.2989/QM.2008.31.3.2.544

Author(s): SeithutiP. Moshokoa

Keywords: COMPLETENESS , CONVERGENCE COMPLETENESS , FIXED POINTS , METRIC SPACES , SYMMETRIC SPACES

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.

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