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Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities

In: Optimization with Multivalued Mappings

Author

Listed:
  • Pham Ngoc Anh

    (Posts and Telecommunications Institute of Technology)

  • Dung Muu

    (Institute of Mathematics)

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.

Suggested Citation

  • Pham Ngoc Anh & Dung Muu, 2006. "Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities," Springer Optimization and Its Applications, in: Stephan Dempe & Vyacheslav Kalashnikov (ed.), Optimization with Multivalued Mappings, pages 231-249, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-34221-4_11
    DOI: 10.1007/0-387-34221-4_11
    as

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