8 citations · 24 across the 13 of their papers we have counts for
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Fixed point theorems for Meir-Keeler type contractions in metric spaces
Mortaza Abtahi
We establish a simple and powerful lemma that provides a criterion for sequences in metric spaces to be Cauchy. Using the lemma, it is then easily verified that the Picard iterates…
Fixed point theorems of Ciric-Matkowski type in generalized metric spaces
Mortaza Abtahi
A self-map of a -generalized metric space is said to be a Ciric-Matkowski contraction if , for , and, for every , there is suc…
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…
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…