TY - JOUR AU - Ali, Muhammad Usman AU - Kamran, Tayyab AU - Khan, Liaqat Ali PY - 2015 DA - 2015/06/18 TI - A new type of multivalued contraction in partial Hausdorff metric spaces endowed with a graph JO - Journal of Inequalities and Applications SP - 205 VL - 2015 IS - 1 AB - A generalization, namely the K-comparison function, of a comparison function is introduced. Using K-comparison functions we introduce $K_{G}$-contractive mappings. We obtain a fixed point theorem for such mappings on partial Hausdorff metric spaces endowed with a graph. We also construct examples in support of our results. SN - 1029-242X UR - https://doi.org/10.1186/s13660-015-0728-y DO - 10.1186/s13660-015-0728-y ID - Ali2015 ER -