2012•Journal of Inequalities and ApplicationsOpen access

A general iterative method for quasi-nonexpansive mappings in Hilbert space

Ming Tian, Xin Jin

Abstract

Iterative algorithms have been extensively studied over the class of nonexpansive mappings in Hilbert spaces. Recall that nonexpansive mappings belong to quasi-nonexpansive mappings. The aim of this article is expanding the general approximation method proposed by Marino and Xu to quasi-nonexpansive mappings in Hilbert spaces.

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Key concepts: Hilbert space, Mathematics, Class (philosophy), Pure mathematics, Fixed point, Applied mathematics, Mathematical analysis, Computer science