Iterative Schemes for Finite Families of Maximal Monotone Operators Based on Resolvents

Li Wei and Ruilin Tan

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

The purpose of this paper is to present two iterative schemes based on the relative resolvent and the generalized resolvent, respectively. And, it is shown that the iterative schemes converge weakly to common solutions for two finite families of maximal monotone operators in a real smooth and uniformly convex Banach space and one example is demonstrated to explain that some assumptions in the main results are meaningful, which extend the corresponding works by some authors.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:451279

DOI: 10.1155/2014/451279

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