A GENERAL FIXED POINT THEOREM FOR SELF MAPPINGS IN GP - METRIC SPACES

  • VALERIU POPA
    Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA,
  • 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

Abstract

The purpose of this paper is to prove a general fixed point theorem in GP - metric spaces for mappings satisfying an implicit relation, which generalizes and improves Theorem 2.10 [6]. In the last part of the paper we prove that these mappings satisfy property (P) in GP - metric spaces and if GP - metric is symmetric, then the fixed point problems is well posed.

Cuvinte cheie

fixed point GP - metric space implicit relation