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Volume 4, Issue 4, Article 67 |
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On Generalized Monotone Multifunctions with Applications to Optimality Conditions in Generalized Convex Programming
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Authors: |
A. Hassouni, A. Jaddar, |
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Keywords:
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Generalized monotone multifunction, Generalized convex function, Quasiconvex, Pseudoconvex, Generalized subdifferentials, Normal cone, Level set, Local minimum, Global minimum, Variational inequalities. |
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Date Received:
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29/05/02 |
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Date Accepted:
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16/03/03 |
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Subject Codes: |
90C26,26B25,47H04.
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Editors: |
M. Zuhair Nashed, |
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Abstract: |
Characterization of quasiconvexity and pseudoconvexity of lower semicontinuous functions on Banach spaces are presented in terms of abstract subdifferentials relying on a Mean Value Theorem. We give some properties of the normal cone to the lower level set of f. We also obtain necessary and sufficient optimality conditions in quasiconvex and pseudoconvex programming via variational inequalities.
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