A GENERAL FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS SAT-ISFYING A MIXED IMPLICIT RELATION IN G - METRIC SPACES

  • VALERIU POPA
    “Vasile Alecsandri” University of Bacău 157 Calea Mărășești, Bacău 600115, ROMANIA
    vpopa@ub.ro
  • ALINA-MIHAELA PATRICIU
    “Dunărea de Jos” University of Galați, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galați, 800201, ROMANIA
    Alina.Patriciu@ugal.ro

Abstract

In this paper we extend Theorem 3.2 [32] to G – metric spaces. As applications, we obtain new results for mappings satisfying contractive conditions of integral type and for map-pings satisfying ϶- contractive conditions.

Cuvinte cheie

fixed point G - metric space ΧΛΡ(Α;Σ)T-property integral type mixed implicit relation