COMMON FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS SATIS-FYING A NEW TYPE OF COMMON LIMIT RANGE PROPERTY IN PARTIAL METRIC SPACES
VALERIU POPA(1) and ALINA-MIHAELA PATRICIU(2)
1. “Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, ROMANIA e-mail: vpopa@ub.ro 2. “Dunărea de Jos" University of Galaţi, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galat_i, 800201, ROMANIA e-mail: Alina.Patriciu@ugal.ro
Abstract
The purpose of this paper is to prove a general fixed point theorem for two pairs of map-pings involving altering distances and satisfying a new type of common limit range prop-erty in partial metric spaces. In the last part of the paper, as applications, some fixed point results for a sequence of mappings, for mappings satisfying contractive condi-tions of integral type and for ϕ- contractive mappings in partial metric spaces are ob-tained.