Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

Abstract

Abstract A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction as well as Chatterjee-type contraction mappings are proved in a dislocated cone metric space over Banach algebra. Proper examples are provided to establish the validity of our claims.

Keywords

• fixed points
• cone metric space
• dislocated cone metric space
• α-admissible mapping