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- W2015561072 abstract "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-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mo>,</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:math>-preinvex functions, strictly semi-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mo>,</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:math>-preinvex functions and explicitly semi-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mo>,</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:math>-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." @default.
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- W2015561072 title "On Semi-(B,G)-Preinvex Functions" @default.
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