Some new results for Reich type mappings on cone b-metric spaces over Banach algebras

Abstract

The main purpose of this paper is to present some fixed point results concerning the generalized Reich type α-admissible mappings in cone b-metric spaces over Banach algebras. Our results are significant extensions and generalizations of resent results of N. Hussain at al. (2017) and many well-known results in abundant literature. We also gave an example that confirmed our results.

Keywords

• cone b-metric space
• Banach algebra
• α-admissible mapping
• α-regular
• fixed point
• c-sequence