Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces

Abstract

We give sufficient conditions for the existence of common fixed points for a pair of mixed multi-valued mappings in the setting of 0-complete partial metric spaces. An example is given to demonstrate the usefulness of our results over the existing results in metric spaces. Finally, we prove a homotopy theorem via fixed point results.

Keywords

• fixed points
• multi-valued mappings
• partial metric spaces