A local minimum, also called a relative minimum, is a minimum within some neighborhood that need not be (but may be) a global minimum.
Local Minimum
See also
Global Minimum, Local Maximum, MinimumExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Local Minimum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LocalMinimum.html