A GENERAL FIXED POINT THEOREM FOR MAPPINGS SATISFYING A CYCLICAL CONTRACTIVE CONDITION IN G - METRIC SPACES

  • VALERIU POPA
    Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti, 600115 Bacău, ROMANIA,
    vpopa@ub.ro
  • ALINA-MIHAELA PATRICIU
    Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti, 600115 Bacău, ROMANIA,
    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.

Cuvinte cheie

fixed point G - metric space cyclical contractive condition implicit relation