ARITHMETIC CONTINUITY IN QUASI CONE METRIC SPACES

The current study defines and examines the concept of arithmetic continuity in quasi-cone metric spaces. This work introduces several new concepts, including forward and backward arithmetic convergence, arithmetic $ff$-continuity, $fb$-continuity, forward and backward arithmetic compactness, and uniform continuity. We have determined the conditions under which the uniform limit of an arithmetic $ff$-continuous function is again an arithmetic $ff$-continuous function. In quasi cone metric spaces, certain arithmetic compactness results are also proved. We have also proved some interesting results pertaining to these concepts.