Semi-\(G\)-preinvexity and optimality in mathematical programming (Q1714589)
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scientific article; zbMATH DE number 7010620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-\(G\)-preinvexity and optimality in mathematical programming |
scientific article; zbMATH DE number 7010620 |
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Semi-\(G\)-preinvexity and optimality in mathematical programming (English)
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1 February 2019
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Summary: We mainly discuss the properties and applications of semi-\(G\)-preinvexity, which was introduced in Peng and Chang 2013. Examples are given to show the existence of semi-\(G\)-preinvex functions. Three important properties and characterizations of semi-\(G\)-preinvex functions are established. Furthermore, under semi-\(G\)-preinvexity, some optimality results are obtained in nonlinear programming problems with inequality constraint. Our results improve and generalize some known results.
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