Journal of Applied Mathematics

Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping

Xian Wang, Jun-min Chen, and Hui Tong

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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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 603186, 6 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305663

Digital Object Identifier
doi:10.1155/2014/603186

Mathematical Reviews number (MathSciNet)
MR3198391

Citation

Wang, Xian; Chen, Jun-min; Tong, Hui. Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping. J. Appl. Math. 2014 (2014), Article ID 603186, 6 pages. doi:10.1155/2014/603186. https://projecteuclid.org/euclid.jam/1425305663


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