Abstract
Cho, Bae and Karapinar [Fixed point theorems for alpha-Geraghty contraction type maps in metric spaces, Fixed Point Theory and Applications 2013, 2013:329] established new fixed point results in complete metric spaces. In this paper, we improve the notion of alpha-Geraghty contraction type mappings and establish some common fixed point theorems for a pair of alpha-admissible mappings under the improved notion of alpha-Geraghty contractive type condition in a complete metric space. An example was constructed to prove the novelty of our results.