Generalized invex monotonicity.(English)Zbl 1028.90036

Summary: In this paper the generalized invex monotone functions are defined as an extension of monotone functions. A series of sufficient and necessary conditions are also given that relate the generalized invexity of the function $$\theta$$ with the generalized invex monotonicity of its gradient function $$\nabla \theta$$. This new class of functions will be important in order to characterize the solutions of the variational-like inequality problem and mathematical programming problem.

MSC:

 90C25 Convex programming
Full Text:

References:

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