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Volume 5, Issue 4, Article 110 |
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On Generalized Preinvex Functions and Monotonicities
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Authors: |
Muhammad Aslam Noor, |
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Keywords:
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Preinvex functions, $eta $-monotone operators, Invex functions, Pseudo invex functions. |
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Date Received:
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10/10/04 |
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Date Accepted:
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11/11/04 |
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Subject Codes: |
26D07, 26D10, 39B62.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
In this paper we consider some classes of  -preinvex and -invex functions. We study some properties of these classes of -preinvex (-invex) functions. In particular, we establish the equivalence among the -preinvex functions, -invex functions and  -monotonicity of their differential under some suitable conditions.
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