A Halpern-Mann Type Iteration for Fixed Point Problems of a Relatively Nonexpansive Mapping and a System of Equilibrium Problems

Utith Inprasit and Weerayuth Nilsrakoo

Abstract and Applied Analysis, 2011, vol. 2011, 1-22

Abstract:

A new modified Halpern-Mann type iterative method is constructed. Strong convergence of the scheme to a common element of the set of fixed points of a relatively nonexpansive mapping and the set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. The results presented in this work improve on the corresponding ones announced by many others.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:632857

DOI: 10.1155/2011/632857

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