Open Mathematics
(De Gruyter Open Access)
•
09 Aug 2019
Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations
George, Reny • Nabwey, Hossam A. • Vujaković, Jelena • Ramaswamy, Rajagopalan • Vinayakam, Selva
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.