  In this paper, we first introduce the Riesner-Nordstrom AdS (RN-AdS) black
hole in presence of quintessence and cloud of strings. And then we use the
Restrict Phase Space $(RPS)$ formalism in the corresponding black holes at the
critical point with equation state $\omega_q =-\frac{1}{3},-\frac{2}{3},-1 $.
We take advantage from the central charge and Newton's constant with form of
variable and prove the compatibility between weak gravity conjecture (WGC) and
weak cosmic censorship conjecture (WCCC). Here, we show that when we use the
usual RN-AdS black hole with $\frac{Q}{M}>\sqrt{G}$ condition, we have weak
gravity conjecture. But, in that case, the WCCC is violated by WGC conjecture.
In order to avoid such violation, we consider the Riesner-Nordstrom AdS
(RN-AdS) black hole in the presence of quintessence, quintessence, and cloud
strings. Here, also one can say that, by using the special central charge,
chemical potential, appropriate quintessence, cloud strings parameters, and the
effective Newton's constant with suitable conditions one can arrive the
compatibility between weak gravity conjecture and weak cosmic censorship
conjecture.
