ALMOST ALTERING DISTANCE FUNCTIONS AND COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF MAPPINGS SATISFYING A NEW TYPE OF COMMON LIMIT RANGE PROPERTY IN SEMIMETRIC SPACES
VALERIU POPA(1), MARCELINA MOCANU (2)
1. “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărășești 157, 600115 Bacău, ROMANIA, e-mail: vpopa@ub.ro , ORCID
2. “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărășești 157, 600115 Bacău, ROMANIA, e-mail: mmocanu@ub.ro , ORCID 0000-0002-0192-8180
Abstract
In this paper, we prove a general common fixed point theorem for two pairs of mappings satisfying a new type of common limit range property in semimetric (symmetric) spaces. Our result relies on the use of an almost altering distance and of implicit relations and generalizes known results. As applications, we obtain new fixed point theorems for mappings satisfying contractive conditions of integral type and for C-class functions.