THE EXISTENCE OF FIXED POINTS FOR HARDY-ROGERS CONTRACTIVE MAPPINGS WITH RESPECT TO A wt-DISTANCE IN b-METRIC SPACES.

The aim of this paper is to prove some existence and uniqueness theorems of the fixed points for Hardy-Rogers type contraction with respect to a wt-distance in b-metric spaces endowed with a graph. These results prepare a more general statement, since we apply the condition of orbitally G-continuity of mappings instead of the condition of continuity, consider b-metric spaces endowed with a graph instead general b-metric spaces and use of control functions instead of constant numbers. [ABSTRACT FROM AUTHOR]