Title of article :
A GENERAL FIXED POINT THEOREM FOR A PAIR OF MAPPING S SATISFYING AN IMPLICIT RELATION
Author/Authors :
POPA ، VALERIU - “Vasile Alecsandri” University of Bacau , PATRICIU ، ALINA-MIHAELA - “Vasile Alecsandri” University of Bacau
Abstract :
In this paper a general fixed point theorem for a pair of mappings satisfying an implicit relation is proved. This theorem generalizes and improves Theorem 2.1 [19], removing the assumption of weak reciprocally continuity, relaxing the compatibility R-weakly commutativity of type (Af) or (Ag) to weak continuity and replacing the completeness of the space with completeness of a subspace.
Keywords :
Fixed point , metric space , compatible mappings , R , weakly commuting mappings , reciprocal continuity , R , weakly commuting of type (Af ) , of type (Ag) , of type (P)
Journal title :
Journal of Advanced Mathematical Studies
Journal title :
Journal of Advanced Mathematical Studies
