In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.
Hiranmoy, Garai; Karapınar, Erdal; Kanta Dey, Lakshmi(2021-07-01)
The essential importance of the best proximity point theory is that "best proximity point theory" appears in the coincidence of "metric fixed point theory" and "optimization theory." So finding best proximity points of ...
In this paper, we investigate the existence of best proximity points that belong to the zero set for the αp-admissible weak (F, ϕ)-proximal contraction in the setting of M-metric spaces. For this purpose, we establish ...
We introduce the notion of pointwise cyclic-noncyclic relatively non-expansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of ...
