GRAPH AND FIXED POINT

Over the past few decades, there have been a lot ofactivity in xed point theory and another branches in mathemat-ics such differential equations, geometry and algebraic topology. In2006, Espinola and Kirk started combining xed point theory andgraph theory. Recently, Reich and Zaslavski have studied a newinexact iterative scheme for xed points of contractive and non-expansive multifunctions. In this paper,In this paper, we obtainsome xed point results on subgraphs of directed graphs.