A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces

Abstract

In this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which generalizes several known results of the existing literature proved in metric and partial metric spaces.

Keywords

• partial metric space
• multi-valued maps
• partial Hausdorff metric
• condition (W.C.C)
• 47H10
• 54H25