A GENERAL FIXED POINT THEOREM FOR MAPPINGS SATISFYING A CYCLICAL CONTRACTIVE CONDITION IN G - METRIC SPACES
VALERIU POPA, ALINA-MIHAELA PATRICIU
Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti, 600115 Bacău, ROMANIA, e-mail: vpopa@ub.ro, alina.patriciu@ub.ro
Abstract
In this paper a general fixed point theorem for mappings satisfying a cyclical implicit contractive relation which extends the results from [3], [10], [15], [17], [21], [23], [24], [27] to G - metric spaces is proved.