AEJM publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics.

Normed linear spaces, Banach spaces, Hahn-Banach theorem, open mapping and closed graph theorems, principle of uniform boundedness; Inner-product spaces, Hilbert spaces, orthonormal bases ...

From this so-called well-ordering theorem, it follows, among other things, that every set has a smallest element according to that ordering. But this contradicts the usual principles of mathematics.

Ege, O. and Karaca, I. (2016) Banach Fixed Point Theorem for Digital Images. Journal of Nonlinear Sciences and Applications, 8, 237-245.

In this chapter we consider the first of the three basic principles of functional analysis, the Hahn-Banach Theorem. This theorem is concerned with the extension of linear functionals which are ...

To address this, we developed theoretical frameworks based on the Banach Contraction Theorem and Interval Analysis. We used a parametrized version of the Banach Contraction Theorem to develop a method ...

A converse to Banach's contraction theorem by Meyers, Philip R. Publication date 1967 Topics Contractions, functional analysis, metric spaces, topology Publisher National Bureau of Standards ...