Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
Author(s) -
A.M. Saddeek,
Saleh A. Ahmed
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/487545
Subject(s) - mathematics , banach space , variational inequality , pure mathematics , complementarity (molecular biology) , nonlinear system , class (philosophy) , reflexivity , mathematical analysis , computer science , social science , genetics , physics , quantum mechanics , artificial intelligence , sociology , biology
This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state
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