Approximating the minimum-norm fixed point of pseudocontractive mappings

H. Zegeye; O. A. Daman

doi:10.1142/S1793557115500369

Approximating the minimum-norm fixed point of pseudocontractive mappings

H. Zegeye
, O. A. Daman

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original language	English
Article number	1550036
Journal	Asian-European Journal of Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1142/S1793557115500369
Publication status	Published - Jun 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators. ",

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AB - We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

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Approximating the minimum-norm fixed point of pseudocontractive mappings

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