Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to single equation. Applying fixed point theorem, study generalized Hyers–Ulam stability mappings. As result, investigate hyperstability mappings in some senses.

I review the black hole uniqueness theorem and the no hair theorems established for physical black hole stationary states by the early 80’. This review presents the original and decisive work of Carter, Robinson, Mazur and Bunting on the problem of no bifurcation and uniqueness of physical black holes. Its original version was written only few years after my proof of the Kerr-Newman et al. blac...

In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on Krasnoselskii?s fixed point theorem, perform investigations to system We apply integral inequality Gronwall type study their stability.

Recently introduced versions of the Borsuk-Ulam theorem (BUT) state that a feature on a n-manifold projects to two features with matching description onto a n+1 manifold (Peters, 2016; Peters and Tozzi, 2016a, 2016b; Tozzi, 2016; Tozzi and Peters, 2016a, 2016b). Starting from this rather simple “abstract” claim, a fruitful general framework has been built, able to elucidate disparate “real” phy...