A GENERAL FIXED POINT THEOREM IN COMPLETE G - METRIC SPACES FOR WEAKLY COMPATIBLE PAIRS SATISFYING A Ф- IMPLICIT RELATION

  • ALINA-MIHAELA PATRICIU
    Dunărea de Jos" University of Galaţi, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galaţi, 800201, ROMANIA
  • VALERIU POPA
    Dunărea de Jos" University of Galaţi, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galaţi, 800201, ROMANIA

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].

Cuvinte cheie

Fixed point complete G - metric space Ф - implicit relation weakly compatible mappings