1. D-η-E-Semipreinvex Vector Mappings and Vector Optimization.
- Author
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PENG Zai-yun, LI Ke-ke, and ZHANG Shi-sheng
- Subjects
- *
MATHEMATICAL mappings , *VECTORS (Calculus) , *MATHEMATICAL optimization , *MATHEMATICS , *LINEAR dependence (Mathematics) - Abstract
A class of new vector valued generalized convex mappings-D-η-E-semipreinvex mappings, as a true generalization of the E-preinvex mappings and the D-η-semipreinvex mappings, were given. First, several examples were presented to show the existence of the E-semi-invex sets and the D-η-E-semipreinvex mappings. Second, a decision criterion for the D-η-Esemipreinvex mappings was introduced, and the relationships among the D-η-semipreinvexity, the D-η-E-strict semipreinvexity and the D-ηE-semistrict semipreinvexity were discussed. Finally, an important application of the D-ηE-semistrictly semipreinvexity to vector optimization with implicit constraint was discussed, then some examples were given to prove the main conclusions. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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