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Multivalued Variational Inequalities with DJ‐Pseudomonotone Mappings in Reflexive Banach Spaces

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  • A. M. Saddeek
  • S. A. Ahmed

Abstract

This paper is concerned with the study of a class of variational inequalities with multivalued DJ‐pseudomonotone mappings in reflexive Banach spaces by using the DJ‐antiresolvent technique. An application to the multivalued nonlinear DJ‐complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state.

Suggested Citation

  • A. M. Saddeek & S. A. Ahmed, 2013. "Multivalued Variational Inequalities with DJ‐Pseudomonotone Mappings in Reflexive Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:487545
    DOI: 10.1155/2013/487545
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    References listed on IDEAS

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    1. D. A. Rose, 1984. "Weak continuity and strongly closed sets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 7, pages 1-8, January.
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