A Fixed Point Method for Convex Systems

Affiliation(s)

Department of Mathematics, Razi University, Kermanshah, Iran.

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

Department of Mathematics, Razi University, Kermanshah, Iran.

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

Abstract

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.

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.

Keywords

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

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

Cite this paper

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

M. Kimiaei and F. Rahpeymaii, "A Fixed Point Method for Convex Systems,"

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