A new type of multivalued contraction in partial Hausdorff metric spaces endowed with a graph

作者：Ali Muhammad Usman; Kamran Tayyab^*; Khan Liaqat Ali

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 1-11.

DOI：10.1186/s13660-015-0728-y

• K-comparison function
• K-G-contractive mapping
• partial metric space
• partial Hausdorff metric space

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.

• 出版日期2015-6-18