Author(s)

Morteza Kimiaei, Farzad Rahpeymaii

Department of Mathematics, Payame Noor University, Tehran, Iran.
Department of Mathematics, Razi University, Kermanshah, Iran.

We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported.

Convex Equations; Least Squares; -Regularization Problems; Fixed Point; Quadratically Convergence

M. Kimiaei and F. Rahpeymaii, "A Fixed Point Method for Convex Systems," Applied Mathematics, Vol. 3 No. 10A, 2012, pp. 1327-1333. doi: 10.4236/am.2012.330189.