Past Projects

Title: Iterative methods to approximate fixed points

Description: We wish to develop certain iterative methods to obtain the fixed points of generalized non-expansive mappings.

This was a part of my MSc thesis and was completed in the Fixed Point Theory and Topology Research Group.

Title: Topology of Non-Triangular Metric Spaces

Description: Recently, in 2020, the concept of non-triangular metric spaces was given. This new concept generalizes metric spaces by omitting the triangle inequality axiom. We will be interested in studying the topology generated by this new definition of "distance function". Eventually, we could answer questions about compactness, connectedness, continuity of functions and even the metrizability of non-triangular spaces.

For collaboration, interested people may contact me by email. 

The prerequisites for topics in fixed point theory include a good knowledge of metric spaces, vector spaces and convergence of real sequences and series. 

The prerequisites for topics in Harmonic Analysis include a basic understanding of the Fourier transform and its properties, measure theory and elementary Euclidean geometry.