Title page for etd-0602106-175956


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URN etd-0602106-175956
Author Rong-yi Wang
Author's Email Address m922040027@student.nsysu.edu.tw
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Department Applied Mathematics
Year 2005
Semester 2
Degree Master
Type of Document
Language English
Title Nonmonotone Multivalued Mappings
Date of Defense 2006-05-26
Page Count 38
Keyword
  • generalized variational inequalities
  • generalized vector variational inequalities
  • (S)_+ condition
  • (S)_+^1 condition
  • Abstract Let T be a multivalued mapping from a nonempty subset of a topological vector space into its topological dual. In this paper, we discuss the relationship between the multivalued mapping T satisfying the (S)_+ condition and T satisfying the (S)_+^1 condition. To unify the (S)_+ condition for single-valued and multivalued mappings, we introduce the weak (S)_+ condition for single-valued mappings defined in [9] to multivalued mappings. The above
    conditions extend naturally to mappings into L(X,Z), where Z is an ordered Hausdorff topological vector space. We also derive some existence results for generalized vector
    variational inequalities and generalized variational inequalities associated with mappings which satisfy the (S)_+, (S)_+^1 or weak (S)_+ condition.
    Advisory Committee
  • Ngai-ching Wong - chair
  • Jyh-shyang Jeang - co-chair
  • Yung-yen Chiang - advisor
  • Files
  • etd-0602106-175956.pdf
  • indicate access worldwide
    Date of Submission 2006-06-02

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