Leadership, leadership is so much more than just leading. It also has to do with understanding and knowing the themes of foster adaptation, embrace disequilibrium, and also generate disequilibrium.
To me personally one of the most important theme is foster adaptation to be included in my personal meaning of leadership.
Foster adaptation refers to what executives are actually facing now these days. From changing in the company's orientation to the executions from executives to excel today's best practices to develop the up comings one.
"What is so precious and central to an organization's identity and capacity that it must be preserved? What, even if valued by many, must be left behind in order to move forward?"(Heifetz, R., Grashow, A., & Linsky, M., 2009, p. 62), These questions should/may arise when for instance a corporation is considering to eliminate practices that might not be very helpful to an environment that is changing, to help distinguish if the eliminated practices would be beneficial to the corporation or if they would not be, as well as overviewing the consequences carefully if it were to happen and if practices were to be preserved.
Overall, foster adaptation encourages the development of adaptation in an environment, by helping people progress the up coming practices that will help the organization to enter an entire new world, even if the people continue to practice the best practices with the end of success. This meaning is integrated in my personal definition of leadership.
Work Cited:
Heifetz, R., Grashow, A., & Linsky, M. (2009). "Leadership in a (permanent) crisis." Harvard Business Review, 87(7), 62-69.

I'm still not clear on the structure of your post - is the first paragraph your new definition?
Check your phrasing around "foster adaption" as well - foster is a verb, so right now the whole thing reads very awkwardly.
Grade: 6 out of 10 points
Clarity of the new definition: 1 points out of 2 possible
Thoughtfulness of the analysis: 4 points out of 6 possible
Grammar, spelling, and APA style: 1 point out of 2 possible