We apply the generalized quasilinearization method to a second order three-point boundary value problem involving mixed nonlinear boundary conditions and obtain a monotone sequence of approximate solutions converging to the unique solution of the problem possessing a convergence of order k(k greater than or equal to 2).
"A Second Order Three-Point Boundary Value Problem with Mixed Nonlinear Boundary Conditions." Methods Appl. Anal. 11 (2) 295 - 302, June 2004.