Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for X being nontrivial solution of the Yang-Baxter-like equation AXA = XAX, discriminating commuting solutions from non-commuting ones. On this basis, construct all nonlinear equation.

In this article, first, we introduce a class of proximal-point mapping associated with generalized α i β j - id="M2"> H p . ,., … -accretive mapping. ...

Membrane computing is a branch of natural computingwhich abstracts fromthe structure and the functioning living cells. The computation models obtained in field membrane are usually called P systems. systems have been used to solve computationally hard problems efficiently on assumption that execution each rule completed exactly one time-unit (a global clock assumed for timing synchronizing rule...