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

A. M. Saddeek and S. A. Ahmed

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/487545

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