Some Applications of Geometric Theory of Approximations
We study sets with continuous selections of almost best approximations and discuss applications of the geometric theory of approximations to problems related to selections from multi-valued mappings, existence of fixed points, and smooth solutions of the eikonal equation.
In this paper, we obtain a $\alpha$-Suzuki fixed point theorem by using $C$ - class function on quasi metric spaces. Also we give an example which supports our main theorem.