ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.26, no.3, pp.489-496, 2010 (SCI-Expanded)
Article / Article
ACTA MATHEMATICA SINICA-ENGLISH SERIES
Science Citation Index Expanded (SCI-EXPANDED), Scopus
fixed point, cone metric space, diametrically contractive, sequentially compact, Lebesgue element, totally bounded, strongly minihedral
Gazi University Affiliated:
In this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral.