%0 Journal Article %T (C , ¦· * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7050482 %X In this paper, we introduce the ( C , ¦· * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of ¦Á -admissible set valued mappings in a metric space. View Full-Tex %U https://www.mdpi.com/2227-7390/7/5/482