The strong convergence of a general explicit convex combination method for nonexpansive mappings is established in the setting of Hilbert spaces. The iterative scheme comes to life from stability problems in numerical methods to approximate solutions of initial value problems for ordinary differential equations. An application to Fredholm integral equation is discussed.
Strong convergence for a general explicit convex combination method for nonexpansive mappings and equilibrium points
Marino, Giuseppe
;RUGIANO, ANGELA;
2017-01-01
Abstract
The strong convergence of a general explicit convex combination method for nonexpansive mappings is established in the setting of Hilbert spaces. The iterative scheme comes to life from stability problems in numerical methods to approximate solutions of initial value problems for ordinary differential equations. An application to Fredholm integral equation is discussed.File in questo prodotto:
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