In this paper, we establish fixed point theorems for a (α, ψ)-Meir-Keeler-Khan self mappings. The main result of our work is an extension of the theorem of Khan [M.
— A numerical method for solving the time-independent Schrödinger equation of a particle moving freely in a three-dimensional axisymmetric region is developed. The boundary of the region is defined by an arbitrary analytic function. The method uses a coordinate transformation and an expansion in eigenfunctions. The effectiveness is checked and confirmed by… (More)