Shallu Sharma

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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 $(I^\pm, I^^{2})$ - 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 $(I^\pm, I^^{2})$ -metric space along with some novel contraction mappings named $(I^\pm, I^^{2})$ -contraction and weak $(I^\pm, I^^{2})$ -contr…

Another Perspective on Chatterjea Contraction

Some Fixed Point Theorems in (I^±,I^2)- Metric Spaces with applications to Fredholm integral and non-linear differential equations

Some Fixed Point Theorems in $(I^\pm, I^^{2})$ - Metric Spaces with applications to Fredholm integral and non-linear differential equations