in this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. we discuss also the existence of a solution to a nonlinear random integral equation in banah spaces.

In a recent paper, Oliver Riordan shows that for and p up to slightly larger than the threshold Kr-factor, hypergraph formed by copies of Kr in G(n, p) contains copy binomial random with . For r = 3, he gives weaker result where density is reduced constant factor. Recently, Jeff Kahn announced an asymptotically sharp bound Shamir's matching problem all With Riordan's result, this immediately im...