Title of article :
Some Properties of C-Graded Metric Spacesand Fixed Point Results
Author/Authors :
Sedghi, Sh. Islamic Azad University-Qaemshahr Branch - Department of Mathematics, ايران , Gilani, A. Islamic Azad University-Kordkuy Branch - Department of Mathematics, ايران , Foozooni, M. Imam Ali University - Department of Mathematics, ايران
Abstract :
In this paper, by using of C-algebra we give a metric with range in positive unit ball of a C-algebra. Indeed this is a generalization of a fuzzy metric space. Some definitions of compatible mappings oftypes (I) and (II) are introduced and some fixed and common fixedpoint theorems are proved.
Keywords :
C , algebra , common fixed point theorem , compatible mappings of type (I) and (II).
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)