S. Billawria

activity

20222026

collaborators

3 papers

math.FA2026

Another Perspective on Chatterjea Contraction

Shallu Sharma, Irfan Ahmed, Sahil Billawria

Inspired by the well-known result stating that if any iterate of a mapping is a Banach contraction on a complete metric space, then the mapping itself possesses a unique fixed poin…

math.FA2025

Some Fixed Point Theorems in $(α, β)$ - Metric Spaces with applications to Fredholm integral and non-linear differential equations

Irfan Ahmed, Shallu Sharma, Sahil Billawria

In this paper, we presented a new type of metric space called $(α, β)$ -metric space along with some novel contraction mappings named $(α, β)$ -contraction and weak $(α, β)$ -contraction…

math.FA2022

Arzela Ascoli Theorem in Quasi Cone Metric Space

Shallu Sharma, Iqbal Kour, Sahil Billawria

In this paper we investigate Arzela Ascoli Theorem in quasi cone metric space, which is a generalization of metric space. We prove some interesting results using forward and backwa…

Another Perspective on Chatterjea Contraction

Some Fixed Point Theorems in (α,β)- Metric Spaces with applications to Fredholm integral and non-linear differential equations

Arzela Ascoli Theorem in Quasi Cone Metric Space

Some Fixed Point Theorems in $(α, β)$ - Metric Spaces with applications to Fredholm integral and non-linear differential equations