FIXED POINT THEOREMS FOR TWO PAIRS OF WEAKLY COMPATIBLE MAP-PINGS SATISFYING A NEW TYPE OF COMMON LIMIT RANGE PROPERTY

Autori: 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 satisfying a new type of common limit range property. In the last part of the paper, as applications, some fixed point results for mappings satisfying contractive conditions of integral type, for ϕ - contractive mappings and ψ- weak contractive mappings, gener-alizing Theorem 2 [27] and other known results, are obtained.

Cuvinte cheie

fixed point altering distance common limit range property ϕ - contractive mappings ψ- weak contractive mappings implicit relation