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2014 Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping
Xian Wang, Jun-min Chen, Hui Tong
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/603186

Abstract

We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

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Xian Wang. Jun-min Chen. Hui Tong. "Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/603186

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010697
MathSciNet: MR3198391
Digital Object Identifier: 10.1155/2014/603186

Rights: Copyright © 2014 Hindawi

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