2 citations · 3 across the 3 of their papers we have counts for
5 papers
On the character space of Banach vector-valued function algebras
Mortaza Abtahi
Given a compact space and a commutative Banach algebra , the character spaces of -valued function algebras on are investigated. The class of natural -valued functi…
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…
New characterizations of maximal ideals in algebras of continuous vector-valued functions
Mortaza Abtahi
Let X be a compact Hausdorf space, let A be a commutative unital Banach algebra, and let C(X,A) denote the algebra of continuous A-valued functions on equipped with the uniform…
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…