Abstract and Applied Analysis

Multivalued Variational Inequalities with D J -Pseudomonotone Mappings in Reflexive Banach Spaces

A. M. Saddeek and S. A. Ahmed

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Abstract

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

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 487545, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511772

Digital Object Identifier
doi:10.1155/2013/487545

Mathematical Reviews number (MathSciNet)
MR3035283

Zentralblatt MATH identifier
1272.49018

Citation

Saddeek, A. M.; Ahmed, S. A. Multivalued Variational Inequalities with ${D}_{J}$ -Pseudomonotone Mappings in Reflexive Banach Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 487545, 6 pages. doi:10.1155/2013/487545. https://projecteuclid.org/euclid.aaa/1393511772


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