In 1999, S. V. Konyagin and N. Temlyakov introduced the so-called Thresholding Greedy Algorithm. Since then, there have been many interesting useful characterizations of greedy-type bases in Banach spaces. this article, we study extend several greedy almost literature. Along way, give various examples to complement our main results. Furthermore, propose a new version Weak Algorithm (WTGA) show ...