We consider the Riesz transforms ∇L−1/2, where L ≡ −divA(x)∇, and A is an accretive, n× n matrix with bounded measurable complex entries, defined on Rn. We establish boundedness of these operators on Lp(Rn), for the range pn < p ≤ 2, where pn = 2n/(n + 2), n ≥ 2, and we obtain a weak-type estimate at the endpoint pn. The case p = 2 was already known: it is equivalent to the solution of the squa...

Suppose X is a real Banach space and F,K : X → X are accretive maps. Under different continuity assumptions on F and K such that the inclusion 0 = u+KFu has a solution, iterative methods are constructed which converge strongly to such a solution. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X . Our method of proof is of independ...

This article is concerned with maximal accretive realization of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible bou...

Abstract In a real Banach space, let the VI indicate variational inclusion for two accretive operators and CFPP denote common fixed point problem of countably many nonexpansive mappings. this article, we introduce generalized extragradient implicit method solving general system inequalities (GSVI) with constraints. Strong convergence suggested to solution GSVI constraints under some suitable as...

In this paper, we introduce a general viscosity-type extragradient method for solving the fixed point problem of an asymptotically nonexpansive mapping and variational inclusion with two accretive operators. We obtain strong convergence theorem in setting Banach spaces. terms theorem, establish result (FPP) inequality (VIP) inverse-strongly monotone framework Hilbert Finally, is applied to deal...

Suppose X is a real q-uniformly smooth Banach space and F,K : X → X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X . Our method...