7 papers
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…
Some new results in extended cone b-metric space
Iqbal Kour, Pooja Saproo, Shallu Sharma
The main aspect of this paper is to investigate some topological properties and Kannan-type contractions in extended cone b-metric spaces. Additionally we have imposed some extra c…
On nano h-open sets
Shallu Sharma, Pooja Saproo, Naresh Digra +1
The main aspect of this paper is to introduce a new generalisation of nano open sets namely, nano h-open sets. These newly generalised sets serve as the foundation for the definiti…
Fixed point theorems in cone metric spaces via distance over topological module
Shallu Sharma, Iqbal Kour, Pooja Saproo
The concept of cone metric spaces with distance was introduced by H. Lakzian and F. Arabyani [16] in In Branga and Olaru [4] put forth the idea of cone metric s…
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…