On Semi-(B,G)-Preinvex Functions
We firstly construct a concrete semi-invex set which is not invex. Basing on concept of semi-invex set, we introduce some kinds of generalized convex functions, which include semi-(B,G)-preinvex functions, strictly semi-(B,G)-preinvex functions and explicitly semi-(B,G)-preinvex functions. Moreover,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/530468 |
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| Summary: | We firstly construct a concrete semi-invex set which is
not invex. Basing on concept of semi-invex set, we introduce some kinds
of generalized convex functions, which include semi-(B,G)-preinvex functions, strictly semi-(B,G)-preinvex functions and explicitly semi-(B,G)-preinvex functions. Moreover, we establish relationships between our new
generalized convexity and generalized convexity introduced in the literature. With these relationships and the well-known results pertaining to
common generalized convexity, we obtain results for our new generalized
convexities. We extend the existing results in the literature. |
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| ISSN: | 1085-3375 1687-0409 |