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

VALERIU POPA ^{1} AND ALINA-MIHAELA PATRICIU ^{2} 1. Department of Mathematics, Informatics and Education Sciences,
Faculty of Sciences, "Vasile Alecsandri" University of BacÄƒu,
Calea MÄƒrÄƒÅŸeÅŸti 157, BacÄƒu 600115, ROMANIA,
e-mail: vpopa@ub.ro
2. DunÄƒrea de Jos" University of GalaÅ£i, Faculty of Sciences and Environment,
Department of Mathematics and Computer Sciences, 111 DomneascÄƒ Street, GalaÅ£i, 800201, ROMANIA
e-mail: Alina.Patriciu@ugal.ro

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.