Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

Abstract

In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

Keywords

• common fixed points
• dislocated cone b-metric space
• dislocated quasi cone b-metric space
• weak semi α-admissible pair of mappings
• generalised contraction mappings
• 47h10
• 47n99
• 54h25