The existence and uniqueness of common fixed points in expanded spaces

Abstract

We define expanded metric spaces, complete expanded metric space, and ɛ-continuous mapping in new ways and provide examples. Under the condition of ɛ-commuting mappings we study the existence and uniqueness of common fixed point theorems for a class of mappings in expexted metric spaces.

Subject Classification:

• Primary 46B20
• 46C50
• Secondary 39B82

Keywords:

• S-Metric space
• G-Metric space
• D∗ -Metric spaces
• Commuting mapping