Applying Banach Algebra for Generalized (α-Ψ)-Contractive Type Maps in Cone Metric Spaces
Anil Kumar Mishra
*
Department of Mathematics, Govt. V.Y.T. P.G. Auto. College, Durg, Chhattisgarh, India.
Padmavati
Department of Mathematics, Govt. V.Y.T. P.G. Auto. College, Durg, Chhattisgarh, India.
Sanjay Sharma
Department of Applied Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh, India.
*Author to whom correspondence should be addressed.
Abstract
Aims/ objectives: In this research, we initially present a novel mapping within the framework of cone metric spaces associated with Banach algebra, referred to as generalized (α-Ψ)-contractive type mappings. Subsequently, a number of fixed point theorems related to (α-Ψ)-contractive type mappings in these cone metric spaces over Banach algebra are generalized and expanded.
Keywords: α-admissible mapping, Banach algebras, normal cone, cone metric spaces, generalized ( α-Ψ )-contractive type mappings