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


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

Issue:

SSRSMI, Number 1, Volume XXVII

Section:

Volume 27, Number 1

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.

Keywords:

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

Code [ID]:

SSRSMI201701V27S01A0006 [0004607]

Note:

Full paper:

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