GENERAL FIXED POINT THEOREMS FOR PAIRS OF EXPANSIVE MAPPINGS WITH COMMON LIMIT RANGE PROPERTY IN $G$ - METRIC SPACES

V.  POPA; A.-M.  PATRICIU

GENERAL FIXED POINT THEOREMS FOR PAIRS OF EXPANSIVE MAPPINGS WITH COMMON LIMIT RANGE PROPERTY IN $G$ - METRIC SPACES

Authors

V. POPA \Vasile Alecsandri" University of Bacau, 600115, Romania
A.-M. PATRICIU Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment, \Dunarea de Jos" University of Galati, 800201, Romania

Keywords:

Fixed point, G-metric space, Common limit range property, Implicit relation

Abstract

In this paper two general fixed point theorems for pairs of extensive mappings with common limit range property in $G$ - metric spaces are proved. In the last part of this paper, as applications, two general fixed point results for mappings satisfying extensive conditions of integral type are obtained.