Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities

Pham Ngoc Anh () and Dung Muu ()
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Pham Ngoc Anh: Posts and Telecommunications Institute of Technology
Dung Muu: Institute of Mathematics

A chapter in Optimization with Multivalued Mappings, 2006, pp 231-249 from Springer

Abstract: Summary We show how to choose regularization parameters such that the solution of a multivalued strongly monotone mixed variational inequality can be obtained by computing the fixed point of a certain multivalued mapping having a contraction selection. Moreover a solution of a multivalued cocoercive variational inequality can be computed by finding a fixed point of a certain mapping having nonexpansive selection. By the Banach contraction mapping principle it is easy to establish the convergence rate.

Keywords: Multivalued mixed variational inequality; cocoerciveness; contraction and nonexpansiveness; Banach fixed point method (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-34221-4_11

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DOI: 10.1007/0-387-34221-4_11

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