4 papers · 1 filter
Four point analogue of Ciric-Reich-Rus type mappings with non-unique fixed points
Irfan Ahmed, Shallu Sharma, Sahil Billawria
In this paper, we introduce and study a new class of mappings termed generalized quadrilateral Ciric-Reich-Rus type mappings, which serve as a four-point analogue of Ciric- Reich-R…
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…
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…