Some new fixed point theorems for α-Geraghty contraction type maps in metric spaces

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Abstract

We generalize the results obtained in Cho et al. (Fixed Point Theory Appl. 2013:329, 2013) and give other conditions to prove the existence and uniqueness of a fixed point of α-Geraghty contraction type maps in the context of a complete metric space.

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Popescu, O. (2014). Some new fixed point theorems for α-Geraghty contraction type maps in metric spaces. Fixed Point Theory and Applications, 2014(1). https://doi.org/10.1186/1687-1812-2014-190

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