Suppose that the minimize f (x) subject to h(x) = 0 is such that every point is a regular point. And

Suppose that the minimize f (x) subject to
h(x) = 0 is such that every point is a regular point. And suppose that the
sequence of points {xk}∞ k=0 generated by geodesic descent is bounded.
Prove that every limit point of the sequence satisfies the first-order
necessary conditions for a constrained minimum.