In this article, some new fixed point theorems of Caristi-type mappings have been proved by establishing several maximal and minimal point theorems.
When each point has a bigger or lower value than both its predecessor and successor points, it is called a maximal or minimal point and collected as an apex value.
These notations represent the sets of maximal points, minimal points, weakly maximal points, and weakly minimal points of Ω [13], respectively.
First, several existence theorems of maximal and minimal points are established.
We first proved several existence theorems of maximal and minimal points.
The points (x=theta(0)) and (y=theta(l)) are called the end points or the extreme (maximal or minimal) points of the segment.
The frequency measurement is based on a simple peak detector which extracts the location of maxima and minima in the signal and then computes the mean interval length between maximal and minimal points.
Here, and denote the sets of minimal point of and maximal point of, respectively.
Finally, Theorem 2 forces that (X, ≼1) has a maximal point which is also the minimal point of (X, ≼).
Here, and denote the sets of weakly minimal point of and weakly maximal point of, respectively.
