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Peer-Reviewed Article September 2, 2014

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

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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
DOI: https://doi.org/10.1186/1687-1812-2014-190

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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