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

Journal of Applied Mathematics, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:603186

DOI: 10.1155/2014/603186

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