Differentiable non-convex functions and general variational inequalities

@article{Noor2008DifferentiableNF,
  title={Differentiable non-convex functions and general variational inequalities},
  author={Muhammad Aslam Noor},
  journal={Applied Mathematics and Computation},
  year={2008},
  volume={199},
  pages={623-630}
}
In this paper, we introduce a new class of non-convex functions, which is called the g-convex functions. We prove that the minimum of the differentiable non-convex functions on the non-convex sets can be characterized by a class of variational inequalities, which is called the general variational inequality. Essentially using the projection technique, we establish the equivalence between the general variational inequalities and the fixed-point problems as well as with the Wiener–Hopf equations… CONTINUE READING

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