Document Type: Original Article

Authors

• Mujeeb Ur Rahman ¹
• Mujeeb Ur Rahman ²

¹ Department of mathematics govt pg jehanzeb college swat kpk pakistan

² Department of Mathematics Govt PG Jehanzeb College Swat KPK Pakistan

Abstract

Abstract. This work is dedicated to establish a common fixed point theorem for
integral type mapping. We will introduce integral type version for Hardy and Roger
type mapping using the concept of weakly compatible mappings in the context of
dislocated metric (d-metric) space. Several corollaries may be deduced from the
establish result.

Keywords

• Key Words and Phrases: Dislocated metric space
• self-mapping
• Cauchy sequence
• Common fixed point
• weakly compatible mappings
• Coincidence point