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math.GN2012
A Suzuki-type fixed point theorem for nonlinear contractions
Mortaza Abtahi
We introduce the notion of admissible functions and show that the family of L-functions introduced by Lim in [Nonlinear Anal. 46(2001), 113--120] and the family of test functions i…
math.GN2012★ 2 cited
A fixed point theorem for contractive mappings that characterizes metric completeness
Mortaza Abtahi
Inspired by the work of Suzuki in [Proc. Amer. Math. Soc. 136 (2008), 1861--1869] we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in…