Narrow Results

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.

In this paper, we prove the existence of a common fixed point for generalized weakly Zamfirescu-type mappings. Finally, we give an application to our main result in the fractal space which proves the existence of a common attractor for a new kind of deterministic fractal.

In this paper, we give new conditions for existence and uniqueness of best proximity point. Also, we introduce the concept of cyclic contraction and nonexpansive for multivalued map and we give existence and convergence theorems for best proximity point in the complete metric space.