A GENERAL FIXED POINT THEOREM IN COMPLETE G - METRIC SPACES FOR WEAKLY COMPATIBLE PAIRS SATISFYING A Ф- IMPLICIT RELATION
ALINA-MIHAELA PATRICIU(1) AND VALERIU POPA(2)
1. Dunărea de Jos" University of Galaţi, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galaţi, 800201, ROMANIA e-mail: Alina.Patriciu@ugal.ro 2. Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, e-mail: vpopa@ub.ro
Abstract
In this paper a general fixed point theorem in complete G - metric spaces for weakly com-patible pairs satisfying a Ф - implicit relation is proved, which generalizes and unifies the results given by Theorems 3.2 and 3.3 [20].