Some fixed point theorems for α-φ-contractive mappings in cone 2-metric spaces
Authors: Badshah Hussain Viquar, Bhagat Prakash, Shukla Satish
Keywords: fixed point; cone 2-metric; comparison function; α-φ-contractive mapping
Abstract:
In this paper, we introduce the notion of α-admissible mappings in the setting of cone 2-metric spaces over Banach algebras. Some existence and uniqueness results of the fixed point of an α-φ-contractive mapping in cone 2-metric spaces are proved. Some examples are provided which illustrate the results proved herein.