We investigate fixed points for p cyclic maps by introducing a new notion of p–cyclic infimum summing and generalized best proximity point maps. The idea generalizes some results about in order to widen the class sets which we can ensure existence uniqueness points. replacement classical notions distance between consecutive set arises from well-known group traveling salesman problem presents di...

In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spa...

We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs maps to p-cyclic maps. find sufficient conditions existence and uniqueness points. illustrate results with an example that covers a wide class