4 papers · 1 filter
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…
Some Fixed Point Theorems in - 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 -metric space along with some novel contraction mappings named -contraction and weak -contraction…
Arithmetic continuity in quasi cone metric spaces
Shallu Sharma, Iqbal Kour
In this paper we have introduced arithmetic ff-continuity and arithmetic fb-continuity utilizing the concept of forward and backward arithmetic convergence in quasi cone metric spa…
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…