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2013 Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces
Kasamsuk Ungchittrakool
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/232765

Abstract

The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strong convergence iteration for finding some fixed points of a strict pseudocontraction in the framework of real Hilbert spaces. In addition, we also provide certain applications of the main theorems to confirm the existence of the zeros of an inverse strongly monotone operator along with its convergent results.

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Kasamsuk Ungchittrakool. "Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/232765

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1293.54038
MathSciNet: MR3130986
Digital Object Identifier: 10.1155/2013/232765

Rights: Copyright © 2013 Hindawi

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